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MHF4U0 Exam Review - Trigonometry Part 2 1. Given sin x = = and cosy = - 13 where 0 S x S ; and - S y S n, find each of the following: a) sin(x - y) b) tan(x + y) c) cos(x - y) 2. Evaluate. Leave answers in EXACT form. a) sin b) tan 150 11x c) cos 12 3. If cotx = --, where , S x S 2x, find each of the following: a) sin 2x b) cos 2x c) tan 2x d) tan 4. Prove the following: 1 1 a) = 2 sec2 x sec? y(tan x-tanz) 1-sin x 1+sin x b) tan(x - y) + tan(y -z) =(1+tanxtany)(1+tany tanz) COS X c) tan x + cotx = sec x cscx d) sec x + tan x = 1-sin x cos x+1 cos x-sin x e) = cot= sin x f) - = sec 2x -tan 2x sin x+ cos x 5. Solve, where 0 S x S 27. Give EXACT answers where possible, otherwise round to 4 d.p. a) 3 sin x - 8 sinx - 3 = 0 b) 5 cos 2x + 6 cos x + 5 sin2 x = 8 c) 4 sin x tan x - 3 tan x + 20 sin x = 15 d) cos x csc x = 2 cos x e) sec2 x - 2 tan x = 0