# Trigonometry Review: Question Preview (ID: 30639)

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 Given that tan x = -4/3, find the value of cot x. a) -3/4 b) 3/4 c) 5/4 d) -5/4 Given that csc x = 5/4, find the value of cos x. a) 4/5 b) 4/3 c) 3/5 d) 5/4 Given cos x = 3/5 and sin x = 4/5 find the value of tan x. a) 5/4 b) 4/3 c) 5/3 d) 3/4 Find the period of y = -4 cos 3x a) pi / 3 b) 2/3 c) 3 d) 2pi / 3 Write an equation that shifts the function y = 6 sin x horizontally 4 units to the left and vertically up 4 units. a) y = 6 sin(x + 4) + 4 b) y = 6 sin(x - 4) + 4 c) y = 6 sin(x +4) - 4 d) y = 6 sin(x - 4) - 4 Find the amplitude of y = -4 cos 3x a) 4 b) -4 c) 3 d) 2 Write an equation for a cosine functions with an amplitude of 5 and a period of 2pi. a) y = 2 cos 2x b) y = 5 cos x c) y = 5 cos 2pi x d) y = 2 cos x Write an equation for a sine function with an amplitude of 7 and a period of 4. a) y = 4sin 7x b) y = 7 sin 4x c) y = 7 sin (pi/2) d) y = 4 sin (pi/7) Simplify cot x sin x a) tan x b) sin x c) cos x d) cot x Simplify tan x cos x csc x a) 1 b) cos x c) sin x d) sec x Simplify (1 - cos2 x )csc x a) sec x b) csc x c) sin2 x d) sin x Solve for x when 2 sin x = 1 a) 60 b) 30 c) 45 d) .52 Solve for x when 8 cos2 x = 2 a) 1.05 b) 60 c) 30 d) 45
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