Free Printable Precalculus Final Exam Review

1.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

2.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

3.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

4.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

5.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

6.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

7.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

8.

What is the exact coordinates of 3π/4 on the unit circle?

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

9.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

10.

tanθ 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

11.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

12.

*

a)

csc x

b)

sec x

c)

cot x

d)

tan x

13.

Evaluate: csc(3π/4)

a)

√2/2

b)

-√2/2

c)

√2

d)

-√2

14.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

15.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

16.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

17.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

18.

a)

1

b)

-1

c)

0

d)

√2/2

19.

a)

√3/3

b)

√3

c)

1

d)

undefined

20.

a)

½

b)

√2/2

c)

√3/2

d)

1

21.

Based on the unit circle, what is the value of cos?

a)

y

b)

x

c)

x/y

d)

y/x

22.

Based on the unit circle, what is the value of sin?

a)

y

b)

x

c)

x/y

d)

y/x

23.

Based on the unit circle, what is the value of tan?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

24.

Find sin(-240°)

a)

(√3)/2)

b)

(-1/2)

c)

(√2/2)

d)

(1/2)

25.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

26.

What is the period?

a)

π/4

b)

π/2

c)

3π/4

d)

π

27.

What is the equation of the graph shown?

a)

y = tanθ/2

b)

y = tan2θ

c)

y = tanθ/4

d)

y = tan4θ

28.

2. Determine an equation for this graph:

a)

y=sec(x)

b)

y=2sec(x)

c)

y=2csc(x)

d)

y= csc(2x)

29.

3. Determine an equation for this graph:

a)

y=csc(x)

b)

y=sec(x)

c)

y=cot(x)

d)

y= tan(x)

30.

4. Determine an equation for this graph:

a)

y=csc(x)

b)

y=sec(x)

c)

y=cot(x)

d)

y= tan(x)

31.

10. What is the equation of the graph?

a)

y = 2 cos x

b)

y = sin x

c)

y = 2 sin x

d)

y = sin 2x

32.

11. What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

33.

Negative angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

34.

Standard position is when .....

a)

the initial side of the angle is on the positive x-axis.

b)

the initial side of the angle is on the negative x-axis.

c)

the initial side of the angle is on the positive y-axis.

d)

the initial side of the angle is on the negative y-axis.

35.

Which of the following degree measures is represented by this diagram?

a)

$135\degree$

b)

$85\degree$

c)

$210\degree$

d)

$-220\degree$

36.

Which of the following shows $-210\degree$ graphed in standard position?

a)

b)

c)

d)

37.

Which of the following shows $\frac{5\pi}{4}$ graphed in standard position?

a)

b)

c)

d)

38.

Determine $\sin\ \theta,\ \cos\ \theta,\ and\ \tan\ \theta.$

a)

$\frac{\text{-12}}{\text{13}},\ \frac{5}{13},\ \frac{-12}{5}$

b)

$\frac{13}{-12},\ \frac{13}{5},\ \frac{5}{-12}$

c)

$\frac{12}{13},\ \frac{5}{13},\frac{12}{5}$

d)

$\frac{13}{12},\ \frac{13}{5},\ \frac{5}{12}$

39.

Determine r

a)

r = 6

b)

r = 8

c)

r = 10

d)

r = 12

Precalculus Final Exam Review

Total questions: 39

Worksheet time: 40mins

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