Free Printable CATA SM2 Review

1.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

2.

What is the reference angle?

a)

163

b)

73

c)

27

d)

107

3.

What is the reference angle?

a)

43

b)

-43

c)

47

d)

-47

4.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

5.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

6.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

7.

What are the negative and positive coterminal angles of -165°?

a)

435°, -545°

b)

185°, -305°

c)

195°, -525°

d)

125°, -185°

8.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

9.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

10.

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

11.

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

12.

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

13.

a)

b)

c)

d)

14.

Which trig equation is correct based on the diagram?

a)

b)

c)

d)

e)

The correct answer is not listed

15.

Which trig equation is correct based on the diagram?

a)

b)

c)

d)

e)

The correct answer is not listed

16.

Using the Unit Circle, find the exact value of this trig function.

a)

b)

c)

d)

e)

The correct answer is not listed

17.

a)

csc x

b)

sec x

c)

cot x

d)

tan x

18.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

19.

The wheel of a bicycle is 0.5 m in diameter, and makes 6.5 rotations in 3.00 s as the bicycle rolls along the bike path. The angular speed of the wheel is

a)

1.4 rpm

b)

1.7 rotaions per second

c)

2.2 rotations/second

d)

0.67 rpm

20.

If cos 32° = sinx, find the number of degrees in the measure of acute angle x.

a)

32

b)

78

c)

58

d)

68

21.

Solve ; $3\tan^2x-4\tan x\ -2\ =0$

for x

0\le x\le360\degree

a)

$23.7\degree,108.7\degree,239.7\degree,308.7\degree$

b)

$69.1\degree,258.0\degree,239.8\degree,238.2\degree$

c)

$59.8\degree,158.8\degree,239.8\degree,338.8\degree$

d)

$19.4\degree,155.8\degree,239.8\degree,338.8\degree$

22.

$\frac{\sin^2x-1}{\cos}$ , is equivalent to

a)

$-Cos\theta$

b)

$\sec\theta-Cos^2\theta$

c)

$Sin^2\theta$

d)

$Cot\theta$

23.

$\sec\theta\cos\theta-\cos^2\theta$ Write as a monomial with a single trigonometric function

a)

$\sin2\theta$

b)

$\sin^2\theta$

c)

$\cos^2\theta$

d)

$\tan\theta$

24.

$\sin^2x\ -1=?$

a)

$-\cos^2x$

b)

$\cos^2x$

c)

$\cos^2x-1$

d)

$1-\cos^2x$

25.

Which of the following is not a Pythagorean Identity?

a)

$\cot^2x+1=\csc^2x$

b)

$\cot^2x-\csc^2x=-1$

c)

$\csc^2x+1=\cot^2x$

d)

$\csc^2x-\cot^2x=1$

26.

$\frac{\left(\sin x\right)}{\left(\cos x\right)}=?$

a)

$\csc x$

b)

$\sec x$

c)

$\cot x$

d)

$\tan x$

27.

$\cos^2x+\sin^2x=?$

a)

$1$

b)

$\csc^2x+\sec^2x$

c)

$\sin^2x$

d)

$1-\sin^2x$

28.

Write the following expression as the sine, cosine, or tangent of an angle.
cos(175)cos(55)+sin(175)sin(55)

a)

sin(120)

b)

cos(120)

c)

cos(230)

d)

sin(230)

29.

a)

A

b)

B

c)

C

d)

D

30.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

31.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

32.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

33.

What is the length of side x?

a)

130 cm

b)

112 cm

c)

150 cm

d)

105 cm

34.

Solve for x. Round to the nearest tenth.

a)

9.5

b)

30.8

c)

3.1

35.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

36.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

37.

Find x

a)

20

b)

5.9

c)

33

d)

42

38.

a)

18.9

b)

19.5

c)

47

d)

27.5

39.

Find the derivative of the given equation
f(x) = 7

a)

7

b)

0

c)

7x

d)

14

40.

Find the derivative of the given equation
f(x) = x³ + x² + 3

a)

3x² + 2x

b)

3x + 2x

c)

3x + 2x + 3

d)

x³ + x²

41.

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x⁵ + 5)²

a)

y = 500x + 400

b)

y = 100x + 400

c)

y = -500 x - 400

d)

y = 500x - 400

42.

Given the graph, find $\lim_{x\rightarrow1}f\left(x\right)$ .

a)

4

b)

-2

c)

1

d)

The limit does not exist.

43.

What is the limit?

a)

DNE

b)

Infinity

c)

6

d)

12

44.

$\lim_{x\rightarrow-5}\ \ \ \frac{x+5}{2}\ =\ ....$

a)

0

b)

5

c)

$\infty$

d)

$\frac{5}{2}$

e)

$\frac{2}{5}$

CATA SM2 Review

Total questions: 44

Worksheet time: 3hrs 9mins

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