MAC1147 Lecture 11: 7.5 Solving Trigonometric Functions Notes
10 Mar 2017
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Provide a generalization to each of the key terms listed in this section. Solving equations with a single trigonometric function. Solving trigonometric equations by using a calculator. Solving trigonometric equations using the fundamental identities. Factor (when either solving using factoring or a identity). Use the sign when you"re taking the square root of both sides (just in case). Set each factor equal to zero (when either solving using factoring or an identity). Determine which of the values will satisfy the given equation. In terms of the values, make sure they are all in one period of the tangent (with knowl- edge of the unit circle). (cid:0)tan2 (x) sec2 (x) + sin2 (x)(cid:1) = cos2 (x) (cid:0)(tan2 (x) sec2 (x)) + sin2 (x)(cid:1) = cos2 (x) (cid:0)(1) + sin2 (x)(cid:1) = cos2 (x) (cid:0)1 + sin2 (x)(cid:1) = cos2 (x) ( 1) (cid:0)sin2 (x)(cid:1) = cos2 (x) 1 sin2 (x) = cos2 (x) cos2 (x) = cos2 (x)
