6.5 Solving Trig Equations & Inequalities

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6.5 Solving Trig Equations & Inequalities. We will solve trigonometric equations & inequalities by combining algebraic techniques & trig identities There.

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Presentation transcript:

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