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Chapt 15 Review Name_____________ Write an equivalent expression in simplest form using only sin and or cosine. 2) sec x cot x 1) sin x tan x cos x Verify the identity 3) sec4x – tan4x= sec2x + tan2x 5) cos x 1 sin x 2sec x 1 sin x cos x 4) tan 2 x sec x cos x sec x 6) sec2x + csc2x = sec2xcsc2x Use sum and difference formulas to give exact answers ( no calculator) 5 7) cos 105 8) cos 9) cos(-195) 10) cos 12 12 Find the sinx and siny and use these values to find the value of cos(x-y) under given conditions. 5 3 3 4 , III , cos y , IV IV 11) cos x 12) cos , I , cos y 12 2 5 5 Find the sinx and siny and use these values to find the value of cos(x + y) under given conditions. 13) cos x 14) cos x 3 , 0 2 3 , 4 x x 2 , cos y 5 3 , 3 2 3 2 2 , cos y ,0 2 3 y y 2 2 Use formulas for sin and tangent of a sum or difference, then evaluate 7 13 15) sin 165 16) sin 17) tan 18) tan (-105) 12 12 Find the sin (x + y), where x and y satisfy the given conditions. 1 2 2 , II 19) sin x , III , cos y 2 3 Find the sin2x for angle in given quadrant. 7 3 5 20) I, sin 21)III, 22) IV, cos x 5 12 4 Use the half angle formulas to find each function value. 23) tan 112.5 24) sin 22.5 25) cos 75 26) cos 7 12 Using Law of sines solve the triangles. Angles to nearest degree, lengths to nearest tenth. 27) A = 440, B = 250, a = 12 28) a = 20, b = 15, A = 400 29) a = 7, b = 2.9, A = 1420 30) B = 800, C = 100, a = 8 Using Law of Cosines, solve the triangle. Angles to nearest degree, lengths to nearest tenth. 31) a = 5, b= 7, C = 420 32) a = 4, c = 7, B = 550 33) a = 63, b = 22, c = 50 34) a = 66, b = 25, c = 45 Prove the identity 35) 1 cos 2 x tan 2 x 1 cos 2 x 36)sin3x=3 sinx -4sin3x