Flipped Math
Reference Triangles
It is all about where the side is located. Pupils use their knowledge of angles in standard position to find reference angles. They use the Pythagorean Theorem to find lengths along a terminal side of an angle to determine the exact...
Flipped Math
Intro to Trigonometry
Expand trigonometric ratios beyond right triangles. Pupils start with a review of trigonometric ratios and then take a look at angles in standard position to determine their measurements. Scholars discover how to find coterminal angles...
Flipped Math
Calculus AB/BC - Determining Limits Using Algebraic Manipulation
Sometimes a little manipulation goes a long way. The sixth of 18 videos in Unit 1 - Limits and Continuity shows viewers how to use algebraic manipulation to determine limits. They first use substitution and factoring, then apply special...
Krista King Math
Derivatives of Trig Functions
What are the most important things about trigonometric derivatives? The 13th video in a series of 31 highlights three important aspects of trigonometric derivatives, the first being the derivatives of sine and cosine. The second is the...
Krista King Math
Chain Rule for Derivatives, with Trig Functions
Break the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...
Krista King Math
Derivatives of Hyperbolic Functions
Trig provides assistance in finding the derivatives of hyperbolic functions. The presentation provides an example of finding the derivative involving hyperbolic functions. Using the chain rule, the video finds the derivative of a...
Krista King Math
Derivative of cot^4(x/2)
Apply the chain rule, the power rule, and the derivative of a trigonometric function all in one. Using a function raised to a power, the 14th video in a series of 31 shows how several rules work together to find a derivative. The...
Krista King Math
Chain Rule for Derivatives, with Quotient Rule
Work on the chain gang. The 11th installment in a series of 31 demonstrates how the chain rule and the quotient rule work together to find a derivative. Using a trigonometric function of a quotient involving exponentials as an example,...
FuseSchool
Other Graphs—Sin, Cos, Tan, and Exponential
Explore the graphs of the trigonometric functions. Learners see the graphs of the sine, cosine, tangent, and exponential functions. Focusing on the parent function, the video instructor discusses key features and how to identify each...
3Blue1Brown
Taylor Series | Essence of Calculus, Chapter 10
Sometimes close enough is just perfect. The last video in a series of 11 explores the Taylor series and its connection to derivatives. It shows the process for finding Taylor series approximations for y = sin x and for y = e^x.
3Blue1Brown
Tattoos on Math
How is the cosecant function like a tattoo? Pupils learn about the geometric representations on a unit circle of all six trigonometric functions through a video. They also learn why secant, cosecant, and cotangent ended up affixed in...
Educator.com
Trigonometric Integrals
Present examples of trigonometric integrals with a video that shows an example of determining a trigonometric integral. The AP Calculus example shows that many of the trigonometric integrals require manipulation and using trigonometric...
Krista King Math
Limits of Trig Functions: Everything You Need to Know!
Discover how to find limits of trigonometric functions. Viewers learn a strategy to calculate limits of trigonometric functions. They see how an expression can be rewritten to one whose limits are already known.
Educator.com
Newton's Method and Inflection Point
The inflection point, the point where the second derivative is zero, is the focus of a video that works through a problem where it is not obvious to see the roots of a function. The solution to the problem requires using...
Educator.com
Volumes by Slicing
Find the volume of a rotational solid by integrating the area of a slice. The AP Calculus resource works through an example of finding the volume of a solid created by rotating a function about the x-axis. The presentation breaks the...
Corbett Maths
Exact Trigonometric Values
It's important to be exact. Scholars watch a video that provides the exact trigonometric values of sine, cosine, and tangent for 0-, 30-, 45-, 60-, and 90-degree angles. The video also highlights a pattern to help remember the values.
Educator.com
Absolute Maximum and Minimum Values of a Function
Viewers explore the meaning of absolute maximum and minimum values for a trigonometric function within a given interval with a video that shows how to determine the critical values within the interval.The instructor then explains how to...
Educator.com
Derivatives of the Trigonometric Functions
Explore the derivatives of trigonometric functions through a video tutorial. The instructor shows how to evaluate a limit as x approaches infinity of a sine function. The final answer results in a limit of one.
Khan Academy
Khan Academy: Trigonometry: More Trig Graphs
Video about translating between the graph and equation of trigonometric functions. Examples consist of writing the equation a sine function from its graph and graphing a cosine function from its equation. [5:13]
Khan Academy
Khan Academy: Trigonometry: Graphs of Trig Functions
Video exploring the graphs of the basic trigonometric functions. Effects of changes in the equation of the sine function to the period and the amplitude of the graph are shown. Includes link to additional practice problems. [10:17]
Khan Academy
Khan Academy: Trigonometry: Using Trig Functions Part Ii
Continuation of video lesson using the basic trigonometric functions to determine unknown side lengths of a right triangle. Example shows using trigonometry as well as the Pythagorean Theorem to find the length of the third side of the...
Khan Academy
Khan Academy: Trigonometry: Determing the Equation of a Trigonometric Function
Video about finding the equation of a trigonometric function from its graph. Two examples are sine functions and one example is a cosine function [9:52]
Khan Academy
Khan Academy: Trigonometry: Using Trig Functions
Video using the basic trigonometric functions to find the length of a side in a right triangle. Examples are given with angle measures in radians. Includes link to additional practice problems. [10:03]
Khan Academy
Khan Academy: Trigonometry: Graphing Trig Functions
Video showing how to graph the sine and cosine functions from their equations with modifications to the amplitude and period. Also gives an example of determining the trigonometric function using the features of the graph. Includes link...