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Special Right Triangles

Explaining the special right triangles and the relationships between their sides

Sine, Cosine, and Tangent

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

Reciprocal Trig Functions

Finding the six trigonometric ratios for a right triangle

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

Special Right Triangles Exercise 1

Special Right Triangles Exercise 1

Special Right Triangles Exercise 2

Special Right Triangles Exercise 2

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 V6

Evaluating all six trigonometric functions for a right triangle

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

MATH 140 5.5 Exercise 1

Finding the domain of a piecewise function and evaluating it

MATH 140 5.6 Exercise 6

Finding the domain of a function that is a fraction containing exponentials and a square root

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

Finding the Derivative of a Root Function Using the Limit Definition

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

Using the Product Rule with an Exponential

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

Higher Derivatives Example 2

Using derivatives to find the velocity and acceleration functions from the position function

WIR1 20B M150 V9

Simplifying an expression with radicals

WIR1 20B M150 V11

Rationalizing the denominator of a fraction with square roots

WIR1 20B M150 V10

Rationalizing the denominator of a fraction with square roots

WIR7 20B M150 V14

Calculating the difference quotient for function with a square root

WIR2 20B M150 V10

Finding the domains of functions

WIR8 20B M150 V03

Finding the domains of expressions

WIR6 20B M150 V23

Using double angle formulas to evaluate trigonometric functions

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 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 2 Review Problems 21-29

Related rates problems, differentials, linear and quadratic approximations

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

Review of limits and derivatives of inverse trigonometric functions

Approximations and Exponentials: MATH 151 Problems 7-14

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

Approximations and Exponentials: MATH 151 Problems 7-14

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

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Riemann Sums: MATH 151 Problems 1-5

Riemann sums, including approximating areas under curves.

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

MLC WIR M151 week1 #09

Using vectors and trigonometry to find the true speed and direction of a boat

MLC WIR 20B M151 week3 #22

Finding the derivative of a function using the limit definition

MLC WIR 20B M151 week6 #11

Using a linear approximation to approximate the value of a function

MLC WIR 20B M151 week10 #15

Determining the rate that the area of a triangle is increasing based on the rate an angle is increasing

Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14

Review of work and average value

Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4

Reviewing u-Substitution

Review for the Common Exam: MATH 152 Exam 3 Review Problem 9

Review of finding the radius and interval of convergence for a power series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18

Review of Taylor and Maclaurin Series and their properties

Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20

Review of Taylor Polynomials and Taylor's Inequality

WIR 20B M152 V85

Converting parametric equations into a Cartesian equation and graphing

Taylor Polynomials: MATH 152 Problem 11

Finding a Taylor Polynomial for a function

WIR 20B M152 V8

Finding the area of a region enclosed by two curves

WIR 20B M152 V10

Finding the area of a region bounded by curves

WIR 20B M152 V16

Finding the volume of a solid of revolution using the washer method

WIR 20B M152 V18

Finding the volume of a solid of revolution using cylindrical shells

WIR 20B M152 V4

Integrating a function with a square root using u-substitution

MATH 152: Trigonometric Substitution Exercise 1

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 2

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 3

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 4

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 5

Using trigonometric substitution to evaluate a definite integral

MATH 152: Trigonometric Substitution Exercise 6

Using trigonometric substitution to evaluate a definite integral

MATH 152: Trigonometric Substitution Exercise 7

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 8

Using trigonometric substitution to evaluate an indefinite integral

WIR 20B M152 V41

Using the comparison test to determine if an improper integral converges or diverges

WIR 20B M152 V42

Using the comparison test to determine if an improper integral converges or diverges

Derivatives and Rates of Change: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

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 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 2 Review Problems 21-29

Related rates problems, differentials, linear and quadratic approximations

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

Review of limits and derivatives of inverse trigonometric functions

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 Problems 7-14

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

Derivatives and Rates of Change: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

Derivatives and Rates of Change: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

Approximations and Exponentials: MATH 151 Problems 7-14

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

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Riemann Sums: MATH 151 Problems 1-5

Riemann sums, including approximating areas under curves.

Definite Integrals: MATH 171 Problems 5-9

The definition and properties of definite integrals

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14

Review of work and average value

Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4

Reviewing u-Substitution

Review for the Common Exam: MATH 152 Exam 3 Review Problem 9

Review of finding the radius and interval of convergence for a power series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18

Review of Taylor and Maclaurin Series and their properties

Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20

Review of Taylor Polynomials and Taylor's Inequality

Taylor Polynomials: MATH 152 Problem 11

Finding a Taylor Polynomial for a function

Work and Average Value: MATH 152 Problems 1-9

Using integrals to solve work problems and find the average value

WIR2 20B M251 V6

Determining the domain of a three-dimensional vector function

WIR2 20B M251 V8

Finding a vector equation for the tangent line to a three-dimensional vector function

WIR3 20B M251 V1

Finding and sketching the domain of a function of two variables

WIR3 20B M251 V2

Finding and sketching the domain of a function of two variables

Using Variables in Python

Defining variables in Python and using the variables in equations

Domain of Combinations of Functions Video 1

Finding the domain of a function with a denominator, square root, and logarithm

Domain of Combinations of Functions Video 3

Finding the domain of a function with a square root in the denominator

Domain of Radical Functions Video 1

Finding the domain of even and odd roots

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

Properties of Radical Functions and Expressions Video 1

Explaining the general properties of even and odd root functions

Properties of Radical Functions and Expressions Video 2

How to rewrite radical terms as power terms

Solving Radical Equations Video 1

Explaining how to solve radical equations and then solving example problems

Solving Radical Equations Video 2

Solving equations with even roots and checking the solutions

Solving Radical Equations Video 4

Solving equations with multiple radicals

Solving Rational Equations Video 2

Solving an equation that contains rational expressions

Solving Rational Equations Video 3

Solving an equation that contains rational expressions

Solving Problems with Trig Exercise 2

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

Angles on the Unit Circle

Discussing the degree and radian measure of special angles on the unit circle

Quadrantal Angles

The coordinates for the quadrantal angles on the unit circle

First Quadrant of the Unit Circle

Finding the coordinates on the unit circle for the common angles in the first quadrant

Coordinates on the Unit Circle

Finding the coordinates on the unit circle for all the common angles

Trig Functions with the Unit Circle

Finding the values of trig functions with the unit circle

Trig Functions with the Unit Circle Exercise 1

Finding the exact value of tangent for several given angles using 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

Degree and Radian Angle Measure

Defining radians for angle measure using the corresponding arc length on a unit circle

Degree and Radian Angle Measure Exercise 1

Converting an angle measured in degrees to radians

Degree and Radian Angle Measure Exercise 2

Converting angles measured in radians to degrees

How to Find Reference Angles

How to find reference angles for angles in standard position

What are Coterminal Angles?

Defining coterminal angles and how to determine if angles are coterminal

How to Draw an Angle in Standard Position

Drawing an angle in standard position

Coterminal and Reference Angles Exercise 1

Finding a negative and positive coterminal angle for a given angle

Coterminal and Reference Angles Exercise 2

Drawing an angle in standard position and finding its reference angle

Coterminal and Reference Angles Exercise 3

Drawing an angle in standard position and finding its reference angle

Coterminal and Reference Angles Exercise 4

Finding a coterminal angle along with its reference angle and graphing it

Coterminal and Reference Angles Exercise 5

Finding a coterminal angle along with its reference angle and graphing it

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

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

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

Using Identities to Find Exact Trig Values Exercise 4

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

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 Trigonometric Equations Exercise 4

Solving a trigonometric equation with tangent and sine by factoring

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

Solving Trig Equations Using Identities Exercise 4

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

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

WIR5 20B M150 V8

Using trigonometry to determine the edge lengths of a right triangle

WIR5 20B M150 V7

Using trigonometry to determine the height of a tree

WIR5 20B M150 V5

Evaluating all six trigonometric functions for a right triangle

Roots of a Square Root Function

Finding the roots of a square root function

Domain of Function with Roots

Finding the domain of a function with a fraction and radicals

Domain of a Square Root Function

Finding the domain of a function with a quadratic inside a square root

Composition of Square Root and Power Functions

Finding the composition of two functions with a square root and a fractional exponent

Inverse of a Square Root Function

Finding the inverse of a square root function and its domain