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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