The inverse trigonometric functions

6 videos
1 skill
Learn about the inverse functions of sine, cosine, and tangent, and how they are defined even though the functions are not really invertible. These functions will be very helpful when you will solve trigonometric equations.

Introduction to arcsine

VIDEO 10:36 minutes
Sal introduces arcsine, which is the inverse function of sine, and discusses its principal range.

Introduction to arctangent

VIDEO 10:06 minutes
Sal introduces arctangent, which is the inverse function of tangent, and discusses its principal range.

Introduction to arccosine

VIDEO 13:38 minutes
Sal introduces arccosine, which is the inverse function of cosine, and discusses its principal range.

Evaluate inverse trigonometric functions

PRACTICE PROBLEMS
Given a sine, cosine, or tangent value, find the principle angle who has this value. In other words, find the arcsine, arccosine, or arctangent of that value.

How to restrict the domain of a function to make it invertible (example)

VIDEO 6:00 minutes
Sal is given the graph of a trigonometric function, and he discusses ways in which he can change the function to make it invertible.

Restricting the domain of a tangent function to make it invertible

VIDEO 9:44 minutes
Sal find the formula for the inverse function of g(x)=tan(x-3π/2)+6, and then determines the domain of that inverse function.

How to find an angle given its tangent using a calculator (example)

VIDEO 3:35 minutes
Sal discusses the appropriate way to use the calculator in order to find an angle when its tangent value is given.