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WIR6 20B M150 V05

Evaluating compositions with inverse trigonometric functions

WIR6 20B M150 V06

Writing an equivalent algebraic expression for compositions with inverse trigonometric functions containing variables

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

MLC WIR 20B M151 week3 #13

Evaluating compositions of trigonometric and inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 171 Problems 4-6

Properties of inverse trig functions and the derivative of arctangent

Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

WIR6 20B M150 V07

Using inverse trigonometry to write an expression for an angle in a right triangle

WIR6 20B M150 V04

Evaluating compositions with inverse trigonometric functions

WIR6 20B M150 V09

Verifying a trigonometric identity

WIR6 20B M150 V10

Solving a trigonometric equation

WIR8 20B M150 V13

Solving a trigonometric equation

WIR6 20B M150 V20

Using a double angle formula to solve a trigonometric equation

WIR6 20B M150 V22

Using a double angle formula to solve a trigonometric equation

WIR6 20B M150 V16

Using a difference formula to evaluate a trigonometric function

WIR6 20B M150 V17

Using a sum formula to evaluate a trigonometric expression

WIR6 20B M150 V18

Using a sum formula to evaluate a trigonometric expression

WIR7 20B M150 V03

Using the Law of Cosines to solve a triangle

WIR6 20B M150 V01

Finding the properties of a transformed tangent function and graphing it

MLC WIR 20B M151 week2 #03

Evaluating a composition of trigonometric and inverse trigonometric functions

MLC WIR 20B M151 week2 #04

Simplifying expressions containing trigonometric and inverse trigonometric functions

MLC WIR 20B M151 week10 #5

Calculating a composition of tangent and arcsine

Review for the Common Exam: MATH 152 Exam 1 b Review Problems 29-33

Review of trigonometric substitution

Integrating Powers of Secant and Tangent

Using trigonometric identities to integrate powers of secant and tangent

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3

Proving the derivatives of trigonometric functions and that sine is continuous

Review for the Common Exam: MATH 152 Exam 1 b Review Problems 29-33

Review of trigonometric substitution

Integrating Powers of Secant and Tangent

Using trigonometric identities to integrate powers of secant and tangent

Trigonometric Substitution: MATH 172 Problems 6 & 7

Integrating using a trigonometric substitution

Sine, Cosine, and Tangent

Explaining the trigonometric ratios of right triangles for sine, cosine, and tangent

Solving Problems with Trig Exercise 1

Using trig to find the length of the side of a right triangle given an angle and side length

Solving Problems with Trig Exercise 2

Using trig to find an angle in a right triangle with two given sides

Trig Functions with the Unit Circle Exercise 1

Finding the exact value of tangent for several given angles using the unit circle

The Graph of Tangent

Using the unit circle to sketch the graph of the tangent function

The Graphs of the Reciprocal Trig Functions

Graphing the reciprocal trig functions cosecant, secant, and cotangent

Using Identities to Find Exact Trig Values Exercise 4

Using the Half-Angle Identities to find the exact values of sine, cosine, and tangent

Solving Trigonometric Equations Exercise 4

Solving a trigonometric equation with tangent and sine by factoring

Solving Trig Equations Using Identities Exercise 4

Solving a trig equation with sine and tangent using a trig identity

WIR5 20B M150 V5

Evaluating all six trigonometric functions for a right triangle

WIR5 20B M150 V6

Evaluating all six trigonometric functions for a right triangle

WIR5 20B M150 V7

Using trigonometry to determine the height of a tree

WIR5 20B M150 V9

Evaluating trigonometric functions given a point on the terminal side of an angle

WIR5 20B M150 V10

Evaluating trigonometric functions given a point on the terminal side of an angle

WIR5 20B M150 V11

Finding trigonometric functions given information about the angle

WIR5 20B M150 V4

Evaluating all six trigonometric functions for angles in degrees and radians

Evaluating All Six Trigonometric Functions

Finding the values of all six trigonometric functions of an angle given a right triangle

Evaluating the Other Trigonometric Functions Given Sine

Evaluating the other five trigonometric functions for an acute angle given the value of sine

Evaluating the Other Trigonometric Functions Given Sine (2)

Evaluating the other five trigonometric functions given sine and that tangent is negative

Solving an Equation with Tangent

Finding the solutions to an equation with tangent in a given interval

Evaluating Limits from a Graph

Finding limits from the graph of a piecewise function

Evaluating One-Sided Limits from a Graph

Finding one-sided limits from the graph of a piecewise function

Evaluating a Limit Numerically

Finding the limit of a function numerically using a calculator

Combinations of Limits from Graphs

Finding limits of combinations of functions using their graphs

Evaluating Limits Algebraically

Using the properties of limits to find several limits algebraically

Limit of a Piecewise Function

Finding one and two-sided limits for a piecewise function algebraically

Limit of a Rational Function

Finding the limit of a rational function algebraically

Limit of a Rational Function 2

Finding the limit of a rational function algebraically

Limit with Multiple Fractions

Finding the limit algebraically of a function with multiple fractions

Limit of a Fraction with a Square Root

Finding the limit algebraically of a function with a square root in the numerator of a fraction

Limit with an Absolute Value

Finding the limit algebraically of a function with an absolute value

Limit at Negative Infinity of a Rational Function

Solving a limit approaching negative infinity for a rational function

Limits at Infinity of a Rational Function

Solving the limits approaching infinity and negative infinity of a rational function

Limits at Infinity of a Rational Function 2

Solving the limits approaching infinity and negative infinity of a rational function

Limits at Infinity of a Fraction with Exponential Functions

Solving the limits approaching infinity and negative infinity with exponential functions in the numerator and denominator

Vertical Asymptotes and Holes of a Rational Function

Finding the holes and vertical asymptotes of a rational function

Horizontal Asymptote of a Fraction with Exponential Functions

Finding the horizontal asymptotes of a function that is a fraction with exponentials in the numerator and denominator

Where the Graph of a Function is Not Continuous

Determining where a piecewise function is continuous from its graph

Continuity of a Function with a Cube Root

Finding where a function with a fraction and cube root is continuous

Continuity of a Function with a Square Root and Logarithm

Determining where a function with a fraction, square root, and logarithm is continuous

Continuity of a Piecewise Function

Determining where a piecewise function is continuous algebraically

Solving for a Constant so a Piecewise Function is Continuous

Solving for a constant to make a piecewise-defined function continuous for all real numbers

Average Rate of Change from a Table

Finding the average rate of change over time periods from a table

Slope of a Secant Line

Finding the slope of a secant line to a given function

Instantaneous Rate of Change of a Function

Finding the exact value of the instantaneous rate of change

Instantaneous Rate of Change of a Rational Function

Finding the exact value of the instantaneous rate of change

Instantaneous Rate of Change of Profit

Finding the instantaneous rate of change of profit for a given price-demand function and cost function

Slope of a Tangent Line

Finding the equation of the tangent line to a function using the limit definition

Finding the Derivative of a Polynomial Using the Limit Definition

Using the limit definition to find the derivative of a polynomial

Finding the Derivative of a Rational Function Using the Limit Definition

Using the limit definition to find the derivative of a rational function

Finding the Derivative of a Root Function Using the Limit Definition

Using the limit definition to find the derivative of a square root function

Determining Where the Derivative Exists From a Graph

Determining where the derivative of a function does not exist from a graph

Finding a Derivative with Exponential Functions and Logarithms

Finding the derivative a function with a power, exponential, and logarithm

Finding a Derivative by Simplifying a Rational

Finding the derivative of a rational function by simplifying and using the power rule

Evaluating Derivatives From a Given Table

Finding and evaluating derivatives using values given in a table

Calculating Marginal Revenue

Finding the marginal revenue given the price-demand function for a word problem

Using the Product Rule with a Logarithm

Finding a derivative of a function with a logarithm using the Product Rule

Using the Product Rule with an Exponential

Finding the derivative of a function with a square root and exponential using the Product Rule

The Quotient Rule with an Exponential

Finding the derivative of a fraction with an exponential using the Quotient Rule

Using Both the Quotient and Product Rule

Finding a derivative using both the Product and Quotient Rule

Using the Product and Quotient Rules with a Table

Finding a derivative using the Product and Quotient Rule and values given in a table

Using the Generalized Power Rule

Finding the derivative of a function using the Generalized Power Rule

Using the Generalized Exponential Rule

Using the Generalized Exponential Rule to find the derivative of a function

Using Log Properties to Simplify Before Taking the Derivative

Using logarithm properties to simplify before using the Chain Rule to find a derivative

Using Log Properties to Simplify Before Taking the Derivative 2

Using logarithm properties to simplify before using the Generalized Logarithm Rule to find a derivative

Using the Chain Rule with a Table

Using the chain rule to find derivates with some values given in a table

Calculating the Rate of Growth With Compound Interest

Finding the rate a balance is increasing for interest compounded monthly and continuously

Using the Alternate Form of the Chain Rule

Using the alternate form of the Chain Rule to find the derivative

Using Logarithmic Differentiation to Find a Derivative

Finding the derivative of a function that requires logarithmic differentiation

Using Implicit Differentiation to Find a Derivative

Using implicit differentiation to find the derivative of a function

Using Implicit Differentiation to Find a Derivative 2

Using implicit differentiation to find the derivative of a function

Solving a Related Rates Word Problem About Liquid Filling a Sphere

Finding the rate water is flowing into an expandable sphere given the rate a sphere is growing

Solving a Related Rates Word Problem About Profit

Finding the rate of change of profit given the rate of increase for sales

Solving a Related Rates Word Problem About a Sliding Ladder

Finding how fast a ladder moves up a wall as the bottom is being pushed

Finding Critical Values

Finding the critical values for several functions

Finding Where a Function is Increasing and Decreasing

Determining the intervals where a function is increasing and decreasing

Increasing and Decreasing and Local Extrema

Finding the intervals where a function is increasing/decreasing and the local extrema

Increasing and Decreasing and Local Extrema for a Revenue Function

Finding intervals of increase/decrease and the local extema for revenue from a word problem

Using the Quotient Rule Twice to Find the Second Derivative

Using the quotient rule twice to find the second derivative of a rational function

Inflection Points and Intervals of Concavity for an Exponential Function

Finding the intervals of concavity and inflection points for a function with exponentials

Inflection Points and Intervals of Concavity from a Graph

Determining the intervals of concavity and inflection points from the graph of a function

Local and Absolute Extrema from a Graph

Finding all local and absolute extrema of a function from a graph

Absolute Extrema on a Closed Interval

Finding the absolute maximum and minimum of a rational function on two closed intervals

Absolute Extrema on a Closed Interval 2

Finding the absolute maximum and absolute minimum of a rational function on two closed intervals

Maximizing a Product of Numbers

Finding the maximum product of two numbers given their sum is 100

Finding the Price to Maximize Profit

Finding the selling price of trucks to maximize profit given the cost and price-demand functions

Finding the Box with the Largest Volume

Finding the dimensions of the box with the largest volume given the amount of material to make the box

Minimizing the Cost of a Box

Finding the minimum cost of a box given the volume and cost of materials

Finding an Antiderivative

Finding the antiderivative of a function

Finding an Indefinite Integral

Evaluating an indefinite integral with an exponential

Finding an Indefinite Integral with a Fraction

Solving an indefinite integral by first simplifying the fraction

Finding a Function from its Derivative and One Value

Solving for a function given its derivate and one value

Finding the Cost Function from Marginal Cost

Solving the antiderivative of marginal cost to find the cost function and evaluating a particular cost

u-Substitution With an Exponential Function

Solving an indefinite integral with an exponential function suing u-substitution

u-Substitution With a Natural Logarithm

Solving an indefinite integral with a natural logarithm using u-substitution

u-Substitution With a Quotient and Exponentials

Solving an indefinite integral with exponentials in a quotient using u-substitution

u-Substitution With a Quotient and a Root

Solving an indefinite integral with a cube root in the denominator using u-substitution

Finding the Function from Its Derivative Using u-Substitution

Using u-substitution in an indefinite integral to find a function from its derivative and a given vaue

Calculating Profit From Marginal Profit Using u-Substitution

Calculating profit from marginal profit using an indefinite integral and u-substitution

Calculating the Exact Area Under a Curve With Geometry

Using geometric formulas for circles, triangles, and rectangles to find the exact area under a curve

Introduction to Riemann Sums

Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums

Estimating Area With a Right-Hand Riemann Sum

Estimating the area under a curve using right-hand Riemann sums

Estimating Area With a Left-Hand Riemann Sum

Estimating the area under a curve using left-hand Riemann sums

Estimating Area With a Midpoint Riemann Sum

Estimating the area under a curve using midpoint Riemann sums

Estimating the Area Under a Curve With a Riemann Sum

Estimating the area under a graph using right-hand Riemann sums

Calculating a Definite Integral From a Graph

Calculating a definite integral by finding the area under a curve using geometry

Definite Integral Comparison Properties

Comparing two definite integrals with the same limits of integration

Evaluating a Definite Integral

Using the Fundamental Theorem of Calculus to evaluate a definite integral

Evaluating a Definite Integral 2

Using the Fundamental Theorem of Calculus to evaluate a definite integral

Evaluating a Definite Integral with u-Substitution

Using the Fundamental Theorem of Calculus and \(u\)-substitution to evaluate a definite integral

Part 1 of the Fundamental Theorem of Calculus

Using Part 1 of the Fundamental Theorem of Calculus to find the derivative of a function defined using an integral

Solving a Word Problem With a Definite Integral

Solving a word problem using a definite integral and the Fundamental Theorem of Calculus

Average Value of a Function

Finding the average value of a a function on an interval using a definite integral

Area Between Two Curves

Finding the area between two curves on an interval using a definite integral

Area of the Region Bounded by Two Curves

Finding the area of a region bounded by two curves using definite integrals

Trigonometric Limits Example 1

Solving a limit example with a trigonometric functions

Trigonometric Limits Example 2

Solving a limit example with a trigonometric function

Trigonometric Limits Example 3

Evaluating a trigonometric limit using trigonometric identities

WIR5 20B M150 V13

Determining the properties of a sine function and graphing it

WIR5 20B M150 V14

Writing the equation for a sine function with certain characteristics

WIR5 20B M150 V15

Determining the properties of a cosine function and graphing it

WIR5 20B M150 V16

Writing the equation for a cossine function with certain characteristics

WIR5 20B M150 V17

Writing the equation for a sine function to match a given graph

WIR5 20B M150 V18

Writing the equation for a cosine function to match a given graph

WIR6 20B M150 V02

Evaluating inverse trigonometric functions

WIR8 20B M150 V12

Evaluating a composition of trigonometric and inverse trigonometric functions

WIR6 20B M150 V08

Verifying a trigonometric identity

WIR6 20B M150 V11

Solving a trigonometric equation

WIR6 20B M150 V12

Solving a trigonometric equation by factoring

WIR6 20B M150 V13

Solving a trigonometric equation

WIR6 20B M150 V14

Solving a trigonometric equation

WIR6 20B M150 V15

Solving a trigonometric equation

WIR6 20B M150 V21

Using a double angle formula to solve a trigonometric equation

WIR6 20B M150 V23

Using double angle formulas to evaluate trigonometric functions

WIR6 20B M150 V19

Using a sum formula to rewrite a trigonometric expression

WIR7 20B M150 V01

Using the Law of Sines to solve a triangle

WIR7 20B M150 V02

Using the Law of Sines to solve a triangle

WIR7 20B M150 V04

Using the Law of Sines to solve a triangle

WIR7 20B M150 V11

Finding the angle between two vectors

Vectors and Derivatives: MATH 151 K.1 Problems 1-8

Derivatives and vectors with some physics applications

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7

Derivatives of exponential functions and the exponential model

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Limits and Asymptotes: MATH 151 2.6 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Limits and Asymptotes: MATH 151 2.7 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

Differentials and Approximations: MATH 151 3.10 Problems 1-6

Differentials, linear approximations and quadratic approximations

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 36-40

Derivatives and tangents to curves

Trigonometry Derivatives and the Chain Rule: MATH 151 3.3 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Trigonometry Derivatives and the Chain Rule: MATH 151 3.4 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Vectors and Derivatives: MATH 151 3.4 Problems 1-8

Derivatives and vectors with some physics applications

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Vectors and Derivatives: MATH 151 3.7 Problems 1-8

Derivatives and vectors with some physics applications

Differentiation and Applications: MATH 151 3.8 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Studying the Shape of Curves: MATH 151 4.1 Problems 2-7

Using derivatives to find properties of graphs

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

L'Hospital's Rule: MATH 151 4.4 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

MLC WIR 20B M151 week3 #05

Finding a Cartesian equation for a parametric curve

MLC WIR 20B M151 week3 #06

Find the measure of an angle given the three vertices for the angle

MLC WIR 20B M151 week3 #08

Using vectors to find the magnitude and direction of a resultant force

MLC WIR 20B M151 week4 #1mn

Using the Chain Rule to differentiate functions with exponential and trigonometric functions

MLC WIR 20B M151 week4 #1o

Using the Chain Rule to differentiate a function containing trigonometric functions

MLC WIR 20B M151 week6 #1cd

Using the Product, Quotient and Chain Rules to find several derivatives

MLC WIR 20B M151 week6 #1ef

Using the Quotient and Chain Rules to find several derivatives

MLC WIR 20B M151 week6 #2a

Finding the derivative of an implicit function

MLC WIR 20B M151 week6 #2b

Finding the derivative of an implicit function

MLC WIR 20B M151 week9 #10c

Finding the antiderivative of a function with secant and tangent

MLC WIR 20B M151 week10 #3

Converting parametric equations into a Cartesian equation

MLC WIR 20B M151 week10 #9b

Finding a derivative using the Chain Rule multiple times

Review for the Common Exam: MATH 152 Exam 3 b Review Problems 1-3

Review of sequences and finding the sum of a series

WIR 20B M152 V86

Converting parametric equations into a Cartesian equation and graphing

WIR 20B M152 V87

Converting parametric equations into a Cartesian equation and graphing

WIR 20B M152 V24

Evaluating an integral using integration by parts

WIR 20B M152 V27

Evaluating an integral using trigonometric identities

WIR 20B M152 V30

Evaluating an integral using trigonometric identities

MATH 152: Trigonometric Integrals Exercise 7

Using a trigonometric identity to integrate powers of secant and tangent

MATH 152: Trigonometric Integrals Exercise 8

Using a trigonometric identity to integrate powers of secant and tangent

MATH 152: Trigonometric Integrals Exercise 9

Using trigonometric identities to integrate powers of cosine and tangent

Integrating Powers of Sine and Cosine

Using trigonometric identities to integrate powers of sine and cosine

WIR 20B M152 V5

Integrating a function with sine using u-substitution

Cases for Trigonometric Substitution

Explaining the cases for using trigonometric substitution

Vectors and Derivatives: MATH 151 K.1 Problems 1-8

Derivatives and vectors with some physics applications

Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3

Proving facts about the derivatives of vector functions including the product rule

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7

Derivatives of exponential functions and the exponential model

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

Limits: MATH 171 Problems 8 & 9

Proving a property of scalar multiplication for limits using the epsilon-delta definition and using the Squeeze Theorem for Limits.

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Limits and Asymptotes: MATH 151 2.6 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Limits and Asymptotes: MATH 151 2.7 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

Differentials and Approximations: MATH 151 3.10 Problems 1-6

Differentials, linear approximations and quadratic approximations

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 36-40

Derivatives and tangents to curves

Trigonometry Derivatives and the Chain Rule: MATH 151 3.3 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Trigonometry Derivatives and the Chain Rule: MATH 151 3.4 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Vectors and Derivatives: MATH 151 3.4 Problems 1-8

Derivatives and vectors with some physics applications

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Studying the Shape of Curves: MATH 151 4.1 Problems 2-7

Using derivatives to find properties of graphs

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

L'Hospital's Rule: MATH 151 4.4 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

Integration by Substitution: MATH 171 Problems 4-6

Using u substitution to evaluate integrals and prove facts about logarithms and integrals and

Fundamental Theorem of Calculus and u-Substitution: MATH 172 Problems 4-7

Proving the Fundamental Theorem of Calculus and examples of u Substitution

Review for the Common Exam: MATH 152 Exam 3 b Review Problems 1-3

Review of sequences and finding the sum of a series

Area Between Curves: MATH 172 Problems 1-3

Interpreting integrals to represent areas between curves

Proving Trigonometric Identities: MATH 172 Problems 3 & 4

Proving trigonometric identities useful for integration

Integrating Powers of Sine and Cosine

Using trigonometric identities to integrate powers of sine and cosine

Cases for Trigonometric Substitution

Explaining the cases for using trigonometric substitution

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

WIR5 20B M251 V2

Evaluating a double integral over a rectangle

WIR 20B M152 V49

Determining if a sequence is increasing, decreasing, or not monotonic and if it is bounded

Using a Rotation Map

Using a rotation map matrix to rotate a 2-dimensional vector by the angle \(\pi\)

Reciprocal Trig Functions

Finding the six trigonometric ratios for a right triangle

Special Right Triangles

Explaining the special right triangles and the relationships between their sides

Trig Functions with the Unit Circle

Finding the values of trig functions with the unit circle

Trig Functions with the Unit Circle Exercise 2

Finding the exact value of secant, cosecant, and cotangent using the unit circle

Trig Functions with the Unit Circle Exercise 3

Finding the exact values of cosine and cotangent for given angles using the unit circle

Trig Functions with the Unit Circle Exercise 4

Finding the exact values of sine and secant for several given angles using the unit circle

Trig Functions with the Unit Circle Exercise 5

Finding the angles where sine has a given value using the unit circle

Trig Functions with the Unit Circle Exercise 6

Finding the angle where secant has a given value and tangent is positive

The Graph of Sine

Using the unit circle to sketch the graph of the sine function

The Graph of Cosine

Using the unit circle to sketch the graph of the cosine function

Transformations of Trig Graphs Exercise 1

Graphing a period of a transformed sine function

Transformations of Trig Graphs Exercise 2

Graphing a period of a transformed cosine function

Transformations of Trig Graphs Exercise 3

Writing the sine and cosine functions for a given graph

Trig Identities Exercise 1

Using the reciprocal and ratio trig identities to simplify an expression

Trig Identities Exercise 2

Using the Pythagorean Identities to simplify a trig expression

Deriving the Secondary Pythagorean Trig Identities

Using the Pythagorean Trig Identity to derive the secondary Pythagorean Identities

Deriving the Double Angle Trig Identities

Using the sum identities of sine and cosine to derive the double angle identities

Deriving the Cofunction Trig Identities

Using the difference identities of sine and cosine to derive the cofunction identities

Deriving the Half-Angle Trig Identities

Using the double angle identities for cosein to derive the half-angle identities for sine and cosine

Using Identities to Find Exact Trig Values Exercise 1

Using the Sum and Difference Identities to find the exact value of cosine

Using Identities to Find Exact Trig Values Exercise 2

Using the Sum Identity for Trig to find the exact value of sine

Using Identities to Find Exact Trig Values Exercise 3

Using a Double Angle Identity to find the exact value of an expression with sine and cosine

Trigonometric Proofs Exercise 1

Using the Reciprocal, Ratio, and Pythagorean Identities to verify a trig identity

Trigonometric Proofs Exercise 2

Proving a trigonometric identity involving secant, cotangent, and tangent

Trigonometric Proofs Exercise 3

Proving a trig identity involving sine and cosine

Trigonometric Proofs Exercise 4

Proving a trig identity involving sine, cosine, and cotangent

Solving Trigonometric Equations Exercise 1

Finding all solutions to a trigonometric equation with sine

Solving Trigonometric Equations Exercise 2

Solving a trigonometric equation with sine and cosine by factoring

Solving Trigonometric Equations Exercise 3

Solving a trigonometric equation with secant by factoring

Solving Trig Equations Using Identities Exercise 5

Solving a trig equation with sine and cosine using trig identities

Solving Trig Equations Using Identities Exercise 6

Solving a trig equation with cosine using trig identities

Solving Trig Equations Using Identities Exercise 7

Solving a trig equation with cotangent and sine using trig identities

Solving Trig Equations Using Identities Exercise 1

Using the Even/Odd and Cofunction Identities to solve an equation with sine

Solving Trig Equations Using Identities Exercise 2

Solving a trig equation with sine and cosine using aPythagorean Identity

Solving Trig Equations Using Identities Exercise 3

Solving a trig equation with cotangent and cosecant using trig identities

Math 304 Section 2.2 Exercise 2

Finding the values of \(\theta\) that makes a matrix with trig functions invertible

Math 304 Section 3.3 Exercise 9

Determining whether trigonometric functions are linearly independent

Math 304 Section 3.4 Exercise 5

Finding the dimension of the subspace spanned by a set of functions

WIR5 20B M150 V8

Using trigonometry to determine the edge lengths of a right triangle

Solving an Equation with Sine and Cosine

Solving a trigonometric equation with sine and cosine on a given interval

Factoring a Quadratic-Like Equation with Sine

Solving an quadratic-like equation with sine by factoring

Solving an Equation with Cosine

Solving an equation with cosine on a given interval

Solving an Equation with Sine

Solving a trigonometric equation with sine on a given interval

Sketching One Period of a Sine Function

Sketching one period of a transformed sine graph

Properties of a Sine Function

Finding the amplitude, period, phase shift, and vertical shift for a given sine function

Find the Cosine Function for a Graph

Writing a cosine function for a given graph

Solving Equations Symbolically in Python

Solving equations symbolically in Python and interpreting the results

Introduction to Riemann Sums

Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative