1. 6.5 Solving Trig Equations & Inequalities

2. We will solve trigonometric equations & inequalities by combining algebraic techniques & trig identities There are lots of techniques! Keep in mind if the answer must be in a specified interval. Technique #1 Factoring Ex 1) Solve Note: If no interval had been specified, the answer would be:

3. Technique #2 Expressing in terms of only 1 trig function Note: Remember if you square both sides of an equation – you might create extra solutions. Be sure to check your answers! Ex 2) Solve

4. Technique #3 Think about the period! Ex 3) Solve 0 3x < 6π (3 revs!)

5. Technique #4 Approximating answers (radian mode) Ex 4) Solve ref = π – 1.91 = 1.23 1.91

6. Technique #5 Inequalities where [0, 2π] Ex 5) Solve

7. Homework #604 Pg 314 #1–15 odd, 21, 23, 27, 32, 37, 39, 53 Even Answers: #32: 0.91, 2.48, 4.05, 5.62