Free Printable Pre-test for Chapter 10-Trigonometry 2 (20Q) (No CAS)

1.

$Solve\sin x=\frac{\sqrt{3}}{2}\ for\ 0≤x≤360°$

a)

30, 150

b)

60, 300

c)

30, 330

d)

60, 120

2.

Solve

cos²θ = ½

on θ∈[0, 2π)

a)

θ = π /4, 7π /4

b)

θ = π /4, 3π /4

c)

θ = 3π /4, 5π /4

d)

θ = π/4, 3π/4, 5π/4, 7π/4

3.

$Solve\cos⁡x=-\frac{1}{\sqrt{2}}\ for\ 0≤x≤360°$

a)

135, 45

b)

150, 210

c)

135, 225

d)

30, 330

4.

a)

No solution

b)

π/3 +2πn, 5π/3 +2πn

c)

π/6 +2πn, 11π/6 +2πn

d)

2π/3 +2πn, 4π/3 +2πn

5.

Find the amplitude of

y=-8\cos\left(\frac{7x}{4}\right)

.

a)

$\frac{7}{4}$

b)

8

c)

-8

d)

$\frac{1}{8}$

6.

Find a and d for the function f(x) = asinx + d such that the graph of f(x) matches the graph shown.

a)

a = 2, d = -1

b)

a = 2, d = 2

c)

a = 4, d = 1

d)

a = 4, d = -3

7.

Determine the period of

y=3\cos\left(\frac{x}{6}\right)-5

.

a)

$\frac{\pi}{3}$

b)

$\frac{1}{3}$

c)

$6\pi$

d)

$12\pi$

8.

$y=-2\cos\left(\theta+\pi\right)-2$

Determine the vertical shift of the given function.

a)

2

b)

-2

c)

4

d)

$\pi$

9.

$y=-2\cos\left(\theta+\pi\right)-2$

Determine the phase shift of the given function.

a)

$2\pi$

b)

2

c)

$-\pi$

d)

$\pi$

10.

What is the period of the graph shown?

a)

$4\pi$

b)

$2\pi$

c)

$\pi$

d)

It cannot be determined from the graph

11.

How do you find the period of a tangent function?

a)

270/b

b)

π/b

c)

360/b

d)

2π/b

12.

What function is graphed here?

a)

sine

b)

cosine

c)

tangent

d)

not listed here

13.

What is the period of y=4tan5x

a)

π/5

b)

π

c)

5

d)

5π

e)

2π/5

14.

What is the range of graph of a tangent function?

a)

(-∞, +∞)

b)

[-1, 1]

c)

(0, +∞)

d)

(-∞, 0)

15.

What are the periods of the following function?

y = tan2x

a)

π/2

b)

90⁰

c)

180⁰

d)

π/4

16.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

17.

Simplify: $\frac{\sin^2x}{1+\cos x}-1$

a)

$\frac{1-\cos x}{\sin x}$

b)

$0$

c)

$-\cos x$

d)

$\csc x-1$

18.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

19.

a)

sinx

b)

cot²x

c)

tan²x

d)

cosx

20.

At what point are sine and cosine the same value?

a)

0

b)

90

c)

45

d)

60

Pre-test for Chapter 10-Trigonometry 2 (20Q) (No CAS)

Total questions: 20

Worksheet time: 18mins

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