Natural of 2 CHAPTER 7 REVIEW 639 esc (t ) CHAPTER 7 REVIEW EXERCISES SOLVING TRIGONOMETRIC EQUATIONS WITH IDENTITIES For the following exercises, find all solutions exactly that exist on the interval [0, 27). (1 . ) CSC ' t = 3 2. cost x = 3. 2sin 0 = -1 4. tan x sin x + sin(-x) = 0 5. 9sin w - 2 = 4 sin w 6. 1 - 2tan(w) = tan?(w) For the following exercises, use basic identities to simplify the expression. 7. sec x cos x + cos x 8. sin' x + cos x sin x sec x For the following exercises, determine if the given identities are equivalent. 9. sin? x + sec2 x - 1 = (1 -cos' x)(1 + cos2 x) 10.) tan' x csc2 x coth x cos x sin x = 1 cos2 x SUM AND DIFFERENCE IDENTITIES For the following exercises, find the exact value. 11 tan 12. cos 25TT 12 12 13. sin(709) cos(250) - cos(709) sin(25) 14. cos(83)cos(23) + sin(830) sin(23)