Free Printable Math 4 Unit 4 Review - Trigonometric Functions

1.

tanθ =

a)

1/cosθ

b)

1/sinθ

c)

cosθ/sinθ

d)

sinθ/cosθ

2.

cotθ =

a)

1/cosθ

b)

1/cscθ

c)

1/secθ

d)

1/tanθ

3.

cotθ =

a)

cosθ/sinθ

b)

sinθ/cosθ

c)

tanθ

d)

1/cosθ

4.

cscθ=

a)

1/cosθ

b)

1/sinθ

c)

1/tanθ

d)

1/secθ

5.

secθ=

a)

1/cosθ

b)

1/sinθ

c)

1/tanθ

d)

1/cscθ

6.

$1+\tan^2x=$

a)

$\csc^2x$

b)

$\cot^2x$

c)

$\sin^2x$

d)

$\sec^2x$

7.

$1+\cot^2x\ =$

a)

$\csc^2x$

b)

$\sec^2x$

c)

$\cos^2x$

d)

$\tan^2x$

8.

Simplify

$\cot\theta\tan\theta$

a)

sin²θ/cos²θ

b)

1

c)

0

d)

cos²θ/sin²θ

9.

Simplify
$\sec\theta\cot\theta\sin\theta$

a)

-1

b)

sin θ

c)

csc θ

d)

1

10.

Simplify

$\cot^2\theta\left(1+\tan^2\theta\right)$

a)

csc²θ

b)

sec²θ

c)

cscθ

d)

1

11.

Simplify

$\sin\theta\left(\csc\theta-\sin\theta\right)$

a)

secθ

b)

cos²θ

c)

sin²θ

d)

sin²θ/cos²θ

12.

Simplify

$\tan x\csc x\cos x$

a)

1/cos x

b)

1

c)

cot x

d)

-1

13.

Simplify

$\cot\theta\sin\theta$

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

14.

Simplify $\left(\sec\theta-1\right)\left(\sec\theta+1\right)$

a)

2secθ

b)

cot²θ

c)

tan²θ

d)

sec²θ + 1

15.

Simplify

$\csc\ x\left(\cos x+\sin x\right)$

a)

csc x

b)

tan x + 1

c)

cot x

d)

cot x + 1

16.

Simplify $\tan x\left(\cot x\ +\ \csc x\right)$

a)

1 + sec x

b)

1 + csc x

c)

sec x - 1

d)

tan² x

17.

$\sec^2x\ -\ 1\ =$

a)

$\cot^2x$

b)

$\csc^2x$

c)

$\cos^2x$

d)

$\tan^2x$

18.

What happens when you multiply two reciprocal functions?

a)

You get a pythagorean identity

b)

It equals 1

c)

You get a quotient identity

d)

It equals 0

19.

Simplify $\left(\csc x+1\right)\left(\csc x-1\right)$

a)

$\csc^2x+1$

b)

$\tan^2x$

c)

$\cot^2x$

d)

$2\csc x$

20.

$1-\sin^2x\ =$

a)

$\sin^2x$

b)

$\cos^2x$

c)

$\sec^2x$

d)

$\csc^2x$

21.

Find AB

a)

10

b)

8

c)

6.1

d)

4.9

22.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

23.

Use the Law of Sines to solve for BC

a)

33

b)

24

c)

12

d)

29

24.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

25.

Find the missing side.

a)

15.9 in.

b)

22.8 in.

c)

19.2 in.

d)

521.1 in.

26.

The amplitude of either $y=a\sin\left(b\theta\right)\ or\ y=a\cos\left(b\theta\right)$
is determined by __________.

a)

$-a$

b)

$a$

c)

$\left|a\right|$

d)

$\left|b\right|$

e)

$\frac{2\pi}{\left|b\right|}$

27.

The period of either $y=a\sin\left(b\theta\right)\ or\ y=a\cos\left(b\theta\right)$
is determined by __________.

a)

$-a$

b)

$a$

c)

$\left|a\right|$

d)

$\left|b\right|$

e)

$\frac{2\pi}{\left|b\right|}$

28.

The amplitude of $y=5\sin\left(2\theta\right)$ is ________.

a)

$-5$

b)

$5$

c)

$2\pi$

d)

$\frac{\pi}{2}$

29.

The period of $y=5\sin\left(2\theta\right)$ is ________.

a)

$2$

b)

$\pi$

c)

$2\pi$

d)

$\frac{\pi}{2}$

30.

Match the graph to the equation $y=2\cos\left(2\theta\right)$

a)

b)

c)

d)

e)

31.

Match the graph to the equation $y=2\sin\left(4\theta\right)$

a)

b)

c)

d)

e)

32.

For the green sine wave, the lengths of each of the purple segments are equal. The length of each segment represents the ______________________.

a)

domain of the function.

b)

amplitude of the wave.

c)

period of the wave.

d)

asymptote of the wave.

33.

For the green sine wave, the length of the orange segment represents the ______________________.

a)

domain of the function.

b)

amplitude of the wave.

c)

period of the wave or the length of one cycle.

d)

asymptote of the wave.

34.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

35.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

Math 4 Unit 4 Review - Trigonometric Functions

Total questions: 35

Worksheet time: 3hrs 44mins

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