6.5 Solving Trig Equations & Inequalities
Technique #1 Factoring Ex 1) Solve 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:
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
Technique #3 Think about the period! Ex 3) Solve 0 ≤ 3x < 6π (3 revs!)
Technique #4 Approximating answers (radian mode) Ex 4) Solve 1.91 ref ∠ = π – 1.91 = 1.23
Technique #5 Inequalities where [0, 2π] Ex 5) Solve