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S = contains supplemental resources
Course: Trigonometry
Topic: Trigonometric Identities
Subtopic: Identities Involving Inverse Trig Functions

Overview

Our goal in this lesson is to meld inverse trigonometric functions and trigonometric identities. Here we simplify expressions that contain inverse trig functions and in some way involve a trig identity too. This topic involves taking quite complicated expressions (such as cos(arcsin(0.6) - arctan(-2)) and sin(2 cos-1(x/√2))) and simplifying algebraically via circle diagrams and trigonometric identities.

Objectives

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

• 5.5.1 Algebraically simplify expressions (both numeric and algebraic) that contain inverse trig functions and, in order to simplify, require the use of trig identities such as double-angle or sum/difference identities along with circle diagrams (perhaps even multiple circle diagrams)