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Trigonometry CP Exercise

Total questions: 20

Worksheet time: 15mins

Name
Class
Date
1.

In a right triangle, which of the following is the sine ratio?

a)

opposite/adjacent

b)

opposite/hypotenuse

c)

adjacent/opposite

d)

adjacent/hypotenuse

2.

In a right triangle, which of the following has a ratio adjacent/opposite?

a)

cotangent

b)

tangent

c)

secant

d)

cosecant

3.

In a right triangle ABC where C is the right angle, which of the following is the hypotenuse?

a)

AB

b)

AC

c)

BC

d)

CA

4.

In a right triangle XYZ where Z is the right angle, which of the following could be the measures of angles X and Y?

a)

29, 51

b)

53, 37

c)

41, 59

d)

62, 18

5.

Which of the following is equal to 1/sin x?

a)

tan x

b)

sec x

c)

csc x

d)

cot x

6.

Which of the following is equal to 1/cos x?

a)

csc x

b)

sec x

c)

cot x

d)

tan x

7.

Which of the following is (cos x)/(sin x)?

a)

sec x

b)

tan x

c)

cot x

d)

csc x

8.

Which of the following has a value of  32-\frac{\sqrt{3}}{2} ?

a)

cos 240

b)

sin 120

c)

cos 150

d)

sin 210

9.

Which of the following is equal to cos 120?

a)

sin 30

b)

cos 60

c)

sin 210

d)

cos 300

10.

Find the value of sin 45 tan 45?

a)

2 2\frac{\sqrt{2\ }}{2}

b)

2\sqrt{2}

c)

3\sqrt{3}

d)

22

11.

Calculate the exact value of sec 30 cot 60.

a)

13\frac{1}{3}

b)

22

c)

23\frac{2}{3}

d)

3\sqrt{3}

12.

Calculate the value of h.

a)

441

b)

440

c)

404

d)

414

13.

Find the length of the base, BS, of the triangle.

a)

583

b)

528

c)

582

d)

538

14.

What is the measure of angle ABD?

a)

55.8

b)

34.2

c)

58.5

d)

32.4

15.

What is the length of side AD?

a)

14.8

b)

18.4

c)

12.3

d)

13.2

16.

What is the area of the figure ABCD?

a)

74.2

b)

74.4

c)

74.6

d)

76.2

17.

What is the equation of this graph?

a)

y = sin 2x

b)

y = 2 sin 2x

c)

y = -2 sin x

d)

y = -2 sin 2x

18.

What is the equation of this graph?

a)

y = cos 3x

b)

y = 3cos x

c)

y = - 3cos x

d)

y = - cos 3x

19.

At 180 m from shore, tourists spot a lighthouse from their boat. The angle of elevation to the bottom of the lighthouse is 26 degrees. The angle of elevation to the top of the lighthouse is 36 degrees. What is the height, h, of the light house?

a)

41 m

b)

42 m

c)

43 m

d)

44 m

20.

Both triangles are right triangles. Find the value of x in the figure.

a)

63.4

b)

64.6

c)

65.3

d)

66.5