Continuing with inverse trigonometric functions, Sal finds the value for tan^-1-1. He also shows the restricted domain of the arctan function.

Sal defines the concept of inverse trigonometric functions and completes two examples of arcsin. Specifically, he finds the values of the arcsin (sqrt 2/2) and arcsin (sqrt 3/2). He also discusses the restricted domain of the arcsin...

Sometimes the only important thing about function is how it behaves around a single point. Pupils learn about the linearization of a function at a point by watching a video. They see an example of the topic using a trigonometric function.

Roll through two graphs. Learners see how the points from the unit circle allow easy construction of the graphs for sine and cosine using an instructional video. They discover how to find the amplitude and midline both from the graphs...

Find out what to do with Ferris wheels that keep going up and down. Individuals learn how to determine the frequency of a trigonometric function. Pupils use their knowledge of trigonometric functions to model periodic motions like Ferris...

Stretch out the curve to expand mathematical knowledge. Pupils learn the definition of period and find out how to determine it both from the graph and the equation of the function. Learners use the new skill in graphing periodic...

Measure angles is easy as pi. Pupils review special right triangles to find exact values for trigonometric functions. Scholars learn about radians and how they connect to measurements in degrees. They find exact and approximate values of...

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...

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...

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...

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...

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...

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...

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...

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,...

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...

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.

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...

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...

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.

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...

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...

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.

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...