WIR5 20B M150 V4
Evaluating all six trigonometric functions for angles in degrees and radians
The Graphs of the Reciprocal Trig Functions
Author: Hannah Solomon
This video uses the graphs of the trigonometric functions sine, cosine, and tangent, to graph the reciprocal trigonometric functions cosecant, secant, and cotangent. The video also gives properties of the reciprocal trigonometric functions such as the period, domain, and range.
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Differentiating functions with logarithmic and inverse trigonometric functions
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Finding a function from its second derivative using antidifferentiation
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Antidifferentiating twice to find a function from its second derivative
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Antidifferentiating twice to find a function from its second derivative
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Antidifferentiating to find a function from its derivative
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Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine
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Finding the position vector function given the velocity and an initial position
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Finding the maximum rate of change and the direction it occurs for a function of two variables
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Evaluating a double integral over a rectangle
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Evaluating a double integral by changing to polar coordinates
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Using an iterated integral in spherical coordinates to find the volume of a solid
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Evaluating a line integral of a vector field along an curve
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Proving a trigonometric identity involving secant, cotangent, and tangent
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Proving a trig identity involving sine and cosine
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Proving a trig identity involving sine, cosine, and cotangent
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Review of the limit definition of a derivative and calculating the derivative
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Review of the limit definition of a derivative and calculating the derivative
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Review of derivatives and tangent lines to functions and vector equations
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Using antidifferentiation to find the height of a cliff from the impact speed of a dropped stone
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Using the comparison test to determine if a series converges or diverges
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Using the limit comparison test to determine if a series converges or diverges
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Using the Alternating Series Test to determine if a series converges or diverges
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Using the Alternating Series Test to determine if a series converges or diverges
WIR 20B M152 V64
Using the Alternating Series Test to determine if a series converges or diverges
WIR 20B M152 V69
Determining if a series is absolutely convergent, conditionally convergent, or divergent.
WIR 20B M152 V79
Finding the Maclaurin series of a function
WIR 20B M152 V80
Evaluating a definite integral by rewriting the integrand as its Maclaurin series
WIR 20B M152 V97
Finding the area of a region defined using polar coordinates
WIR 20B M152 V98
Finding the area of a region defined using polar coordinates
WIR 20B M152 V99
Finding the area of a region defined using polar coordinates
MATH 152: Integration by Parts Exercise 3
Solving an indefinite integral with cosine using integration by parts
MATH 152: Integration by Parts Exercise 9
Using integration by parts twice for an integral with sine and an exponential function
MATH 152: Trigonometric Integrals Exercise 6
Using a trigonometric identity to integrate an even power of cosine
Dot Product: MATH 171 Problems 7 & 8
Proofs of the Cauchy-Schwarz Inequality and a property of vector projections
Vector Functions: MATH 171 Problems 1 & 2
Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel
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 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
Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19
Mean Value Theorem and using derivatives to find the shape of curves
Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30
Antiderivatives and physics applications
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Limits and Asymptotes: MATH 151 Problems 7-11
Limits at infinity and asymptotes, along with physics applications
Limits and Asymptotes: MATH 151 Problems 7-11
Limits at infinity, asymptotes, and tangent lines
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
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 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Studying the Shape of Curves: MATH 151 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
Riemann Sums: MATH 151 Problems 1-5
Riemann sums, including approximating areas under curves.
Integration by Substitution: MATH 151 Problems 13 & 14
Examples of integration by substitution
Integration by Parts: MATH 172 Problems 1 & 2
Proving the formula for integration by parts and a reduction formula
WIR1 20B M251 V15
Calculating the length of the cross product of two vectors given information about the vectors
WIR2 20B M251 V7
Finding the limit 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 V9
Finding the partial derivatives of a function of two variables
WIR6 20B M251 V4
Converting a double integral to a double integral in polar coordinates
WIR9 20B M251 V6
Finding the curl and divergence of a three dimensional vector field
WIR10 20B M251 V9
Using the Divergence Theorem to evaluate the surface integral of a vector field
Generating and Plotting Sequences in Python
Using Python to numerically, graphically, and analytically find the limit of a sequence
Pythagorean Theorem
Explaining the Pythagorean Theorem and using it to find a missing side in a right triangle
Special Right Triangles Exercise 1
Special Right Triangles Exercise 1
Special Right Triangles Exercise 2
Special Right Triangles Exercise 2
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
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