Section 6.1.2 Day 2

Solving Trig Equations Using Inverses

Lesson Objective:

Students will:

• Solve basic trig equations using inverses

• Understand that the number of solutions for trig equations depends on the domain of the problem.

Linear

Example 1: 2sin 3 0x domain 0,2

Linear

Example 2:1

sin22

Recall Quadratics

Methods for Solving:

1. Square root property

2. Quadratic formula

3. Factoringa. Common factoringb. Difference of two squaresc. Trinomiald. Grouping

Quadratic

Example 3: 24sin 3 0

Quadratic

Example 4: 22sin 3sin 2 0 U-SUB

Quadratic – Trig Identities

Example 5:2 2sin 1 cos

U-SUB

Quadratic – Trig Identities

Example 6:2cot cot

U-SUB

ClosureSolve the following equation on the specified domain.

22sin 3sin 1, the domain 0,2x x for

Assignment

WS Trig Equations #1-12, 1-13