Free Printable G 11.2

1.

$\cos\left(\theta\right)=?$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

2.

$\tan\left(\theta\right)=?$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{24}{8\sqrt{13}}$

d)

$\frac{16}{8\sqrt{13}}$

3.

$\csc\left(\theta\right)=?$

a)

$\frac{23}{6\sqrt{10}}$

b)

$\frac{23}{13}$

c)

$\frac{6\sqrt{10}}{23}$

d)

$\frac{\sqrt{191}}{13}$

4.

Find the measure of the indicated side.

a)

$15.2$

b)

$11.3$

c)

$11.8$

d)

$13$

5.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

6.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

7.

$-640^{\degree}$ What quadrant is the measurement to the left in?

a)

I

b)

II

c)

III

d)

IV

8.

$-\frac{5\pi}{3}$ What quadrant is the measurement to the left in?

a)

I

b)

II

c)

III

d)

IV

9.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

10.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

11.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

12.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

13.

What is the value of x?

a)

960

b)

30.98

c)

43.91

d)

14.24

14.

What is the ratio for Cosine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Hypotenuse / Adjacent Leg

15.

In Right Triangle ABC with right angle C. If the
Cos A = 3/5, what is the Sin B?

a)

4/5

b)

5/3

c)

3/5

d)

4/3

16.

In right triangle DEF with right angle D. If
Tan E = 5/12, what is Tan F?

a)

12/5

b)

5/12

c)

12/13

d)

13/12

17.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

18.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

19.

What is the value of "y" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

20.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

21.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

a)

True

b)

False

22.

Which expression is correct for "y"?

a)

y = tan^–1(31/23)

b)

y = sin^–1(31/23)

c)

y = cos^–1(31/23)

23.

How would you find the value of the angle denoted by "?"

a)

Apply the inverse sine

b)

Apply the inverse cosine

c)

Apply the inverse tangent

d)

Apply the Pythagorean Theorem

24.

How would you find "x" in this Special Right Triangle?

a)

Divide 10 by 2.

b)

Multiply 10 by 2.

c)

Multiply 10 by √3

d)

Divide 10 by √3

25.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

26.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

27.

What is the value of x?

a)

42.59

b)

0.03

c)

38.60

d)

8.39

28.

What is the value of x?

a)

6 < x < 30

b)

21.63

c)

13.42

d)

30 < x < 6

29.

What are the 3 basic trig functions?

a)

Sine, cosine, and cotangent

b)

Sine, cotangent, and cosecant

c)

Sine, cosine, and tangent

d)

Cosecant, cosine, and cotangent

30.

How do sine, cosine, and tangent tell us about an angle?

a)

They describe the angle measure in terms of the ratio of its corresponding sides

b)

They tell us its measure in relationship to the other angles in the triangle

c)

We can only use them if we know all side lengths

d)

They describe the angle measure in terms of the product of its corresponding sides

31.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

d)

Sine

32.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

33.

Change 450° to radian.

a)

$\frac{7\pi}{4}$

b)

$\frac{5\pi}{2}$

c)

$\frac{5\pi}{6}$

d)

$\frac{7\pi}{3}$

e)

$\frac{9\pi}{2}$

34.

Change 315° to radian.

a)

$\frac{7\pi}{4}$

b)

$\frac{5\pi}{2}$

c)

$\frac{5\pi}{6}$

d)

$\frac{7\pi}{3}$

e)

$\frac{9\pi}{2}$

35.

Change $\frac{4\pi}{5}$ to degree.

a)

120°

b)

150°

c)

144°

d)

75°

e)

125°

36.

Change $\frac{8\pi}{3}$ to degree.

a)

720°

b)

450°

c)

480°

d)

500°

e)

620°

37.

What is the principle measure of 500°

a)

120°

b)

50°

c)

0°

d)

140°

e)

60°

38.

What is the principle measure of 1080°

a)

120°

b)

30°

c)

0°

d)

150°

e)

80°

39.

What is the principle measure of $-\frac{9\pi}{4}$

a)

$\frac{3\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

$\frac{7\pi}{4}$

d)

$\frac{\pi}{4}$

e)

$\pi$

40.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

41.

How many degrees does circle have?

a)

360 degrees

b)

2pi

c)

180 degrees

d)

pi

42.

Which of the following is closest to the measure of the angle drawn by the green curve?

a)

5/6 π

b)

5/3 π

c)

4/5 π

d)

4/3 π

43.

In what quadrant is 285°

a)

I

b)

II

c)

III

d)

IV

44.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

45.

Convert -40^o into Radians

a)

-4π / 8

b)

-8π / 9

c)

-2π / 9

d)

-5π / 8

46.

Which of the following shows $150\degree$ in standard positon?

a)

b)

c)

d)

47.

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

a)

b)

c)

d)

48.

Which of the following shows $480\degree$ graphed in standard position?

a)

b)

c)

d)

49.

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

a)

b)

c)

d)

50.

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

a)

$135\degree$

b)

$85\degree$

c)

$210\degree$

d)

$-220\degree$

51.

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

a)

$-\frac{3\pi}{4}$

b)

$\frac{6\pi}{5}$

c)

$-\frac{\pi}{3}$

d)

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

52.

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.

53.

Negative angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

54.

Positive angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

55.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

56.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

G 11.2 - SBQ4

Total questions: 56

Worksheet time: 1hrs 17mins

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