Lesson: Simplifying Trigonometric Expressions Using Trigonometric Identities Mathematics

In this lesson, we will learn how to simplify trigonometric expressions by applying trigonometric identities.

Lesson Plan

Objectives

Students will be able to

  • identify whether an equation represents an identity,
  • recall and use the Pythagorean identities to simplify expressions,
  • use combinations of trigonometric identities, including cofunction identities, shift identities, and Pythagorean identities, to simplify expressions, including reciprocal trigonometric functions,
  • use the trigonometric identities to simplify rational trigonometric expressions.

Prerequisites

Students should already be familiar with

  • basic trigonometric identities including the definitions of the tangent function and reciprocal trigonometric functions,
  • complementary function identities and shift identities.

Exclusions

Students will not cover

  • the sum and difference formulas,
  • the double- and half-angle formulas.

Sample Question Videos

  • 03:38
  • 03:09
  • 01:56

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