Course: Trigonometry
Topic: Trigonometric Equations
Subtopic: Equations Involving Inverse Trig Function


Our goal in this lesson is to meld inverse trigonometric functions and trigonometric equations. When a trigonometric equation involves a single inverse trigonometric function, isolate it, and "undo" it by applying the corresponding regular trig function to both sides of the equation which will isolate the variable input. For example, `2sin^-1x=pi rArr arcsinx=pi/2 rArr sin(arcsinx)=sin(pi/2) rArr x=sin(pi/2)=1`.


By the end of this topic you should know and be prepared to be tested on:

Text Notes

Most textbooks go beyond equations that contain a single inverse trigonometric function to equations that contain multiple inverse trigonometric functions. These require a trig identity be applied, which can get particularly tricky. You can SKIP this type of equation. You will not be tested on equations that contain more than one inverse trigonometric function.

Mini-Lectures and Examples

STUDY: Solving Trigonometric Equations with Multiple Angles & Equations Involving Inverse Trig Function

rev. 2020-10-31