Free Printable PC Ch 4 Review

1.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

2.

a)

1

b)

-1

c)

0

d)

√2/2

3.

a)

-1

b)

0

c)

undefined

d)

√3

4.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

5.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

6.

cot 270^o

a)

0

b)

1

c)

-1

d)

und

7.

sec π

a)

1

b)

-1

c)

0

d)

und

8.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

9.

sin(5π/3)=

a)

1/2

b)

-√3/2

c)

√3/2

d)

-1/2

10.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

11.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

12.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

13.

csc(-3π/4) =

a)

-2/√2

b)

√2

c)

-√2

d)

√2/2

14.

tan(7π/3) =

a)

√3/2

b)

-√3/2

c)

√3

d)

-√3

15.

sec(900°) =

a)

1

b)

0

c)

undefined

d)

-1

16.

cot(4π) =

a)

√2/2

b)

undefined

c)

1

d)

-1

17.

Which of the following has a positive cosine and a negative sine?

a)

11

b)

111

c)

211

d)

311

e)

none of these

18.

Which angle on the unit circle has a cosine value of -1?

a)

0

b)

π/2

c)

π

d)

3π/2

e)

none of these

19.

a)

-1 / 2

b)

√3 / 2

c)

-√3 / 2

d)

1 / 2

20.

Given the ordered pair (15, 8), find $\tan\theta$

a)

$\frac{17}{15}$

b)

$\frac{4}{3}$

c)

$\frac{17}{8}$

d)

$\frac{8}{15}$

21.

Find cos(θ) given that the terminal side of θ contains the point $\left(-9,\ 6\right)$ .

a)

$-\frac{3\sqrt{13}}{13}$

b)

$-\frac{\sqrt{13}}{3}$

c)

$\frac{3}{2}$

d)

$\frac{\sqrt{13}}{3}$

22.

Find the value of sec $\theta$ given the point

\left(-\sqrt{7},\ 3\right)

a)

$-\frac{3\sqrt{7}}{7}$

b)

$\frac{3}{4}$

c)

$-\frac{4\sqrt{7}}{7}$

d)

$\frac{\sqrt{7}}{4}$

23.

Find the indicated trig ratio for the given ratio. Draw a triangle and label the sides!

a)

A

b)

B

c)

C

d)

D

24.

Find the indicated trig ratio for the given ratio. Draw a triangle and label the sides!

a)

A

b)

B

c)

C

d)

D

25.

Find $\tan\theta$ if $\csc\theta=\sqrt{10}$ .

a)

$\frac{1}{3}$

b)

3

c)

$\frac{\sqrt{10}}{10}$

d)

$\frac{3\sqrt{10}}{10}$

26.

$\sin^2\theta\ +\ \cos^2\theta\ =\ 1$

Solve for $\cos^2\theta$ .

a)

$\cot^2\theta+1$

b)

$\sec^2\theta-1$

c)

$\tan\theta+1$

d)

$1-\sin^2\theta$

27.

Simplify

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

a)

csc²θ

b)

sec²θ

c)

cscθ

d)

1

28.

Simplify

$\tan x\csc x\cos x$

a)

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

b)

1

c)

$\cot x$

d)

-1

29.

$\frac{1-\cos^2\theta}{\tan^2\theta}$ can be simplified as

a)

$\cot^2\theta$

b)

$\tan^2\theta$

c)

$\sin^2\theta$

d)

$\cos^2\theta$

30.

$\frac{\tan\theta+\cot\theta}{\tan\theta}$ can be simplified as:

a)

$\csc^2\theta$

b)

$\cot^2\theta$

c)

$\sin^2\theta$

d)

$\cos^2\theta$

31.

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

a)

$0$

b)

$1$

c)

$\sin\theta$

d)

$\cos\theta$

32.

Q1. What is the value of cos²x + sin²x?

a)

A) cos²x

b)

B) sin²x

c)

C) cot²x

d)

D) tan²x

33.

a)

secθ

b)

cos²θ

c)

sin²θ

d)

sin²θ/cos²θ

34.

In which quadrant is tan 𝝧 negative and cot 𝝧 positive?

a)

Q1

b)

Q2

c)

Q3

d)

Q4

e)

This is not possible. There is no such quadrant where this combination would occur.

35.

In which quadrant is csc 𝝧 negative and sec 𝝧 positive?

a)

Q1

b)

Q2

c)

Q3

d)

Q4

e)

This is not possible. There is no such quadrant where this combination would occur.

36.

In which quadrant is tan 𝝧 negative and cot 𝝧 positive?

a)

Q1

b)

Q2

c)

Q3

d)

Q4

e)

This is not possible. There is no such quadrant where this combination would occur.

37.

In which quadrant is csc 𝝧 negative and cos 𝝧 negative?

a)

Q1

b)

Q2

c)

Q3

d)

Q4

e)

This is not possible. There is no such quadrant where this combination would occur.

PC Ch 4 Review

Total questions: 37

Worksheet time: 3hrs 5mins

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