Free Printable TRIGONOMETRIC FUNCTIONS

1.

The 3 sides, with respect to angle A are :

a)

Hypotenuse = 5
Adjacent Leg = 3
Opposite Leg = 4

b)

Hypotenuse = 5
Adjacent Leg = 4
Opposite Leg = 3

c)

Hypotenuse = 3
Adjacent Leg = 4
Opposite Leg = 5

d)

Hypotenuse = 3
Adjacent Leg = 5
Opposite Leg = 4

2.

Choose the correct ratio to solve x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

3.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

4.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

5.

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

a)

y

b)

x

c)

x/y

d)

y/x

6.

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

a)

y

b)

x

c)

x/y

d)

y/x

7.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

8.

Give the value of $\sin\ 45\degree\ \cos\ 45\degree$ .

a)

$\sqrt{2}$

b)

$\frac{1}{2}$

c)

$\sqrt{3}$

d)

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

9.

What is the exact value of $\sin\ 30^{\degree}$

a)

$\frac{1}{2}$

b)

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

c)

$\frac{\sqrt{3}}{2}$

d)

$\sqrt{3}$

10.

What is the exact value of $\cos\ 60\degree$

a)

$\frac{1}{2}$

b)

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

c)

$\frac{\sqrt{3}}{2}$

d)

$\sqrt{3}$

11.

What is the exact value of $\sin\ 60\degree$

a)

$\frac{1}{2}$

b)

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

c)

$\frac{\sqrt{3}}{2}$

d)

$\sqrt{3}$

12.

What is the exact value of $\cos\ 30\degree$

a)

$\frac{1}{2}$

b)

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

c)

$\frac{\sqrt{3}}{2}$

d)

$\sqrt{3}$

13.

What is the exact value of $\tan\ 30\degree$

a)

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

b)

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

c)

$\frac{\sqrt{3}}{2}$

d)

$\sqrt{3}$

14.

What is the exact value of $\tan\ 45\degree$

a)

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

b)

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

c)

$\frac{\sqrt{3}}{2}$

d)

$1$

15.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

16.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 3√2 y = 3

c)

x = 3√3 y = 6

d)

x = 6 y = 3√2

17.

How long is e?

a)

3

b)

6

c)

6√3

d)

6√2

18.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

19.

What is the reference angle?

a)

115

b)

65

c)

25

d)

155

20.

What is the reference angle?

a)

163

b)

73

c)

27

d)

107

21.

What is the reference angle?

a)

43

b)

-43

c)

47

d)

-47

22.

What is the reference angle?

a)

48

b)

138

c)

132

d)

42

23.

What is the reference angle?

a)

7

b)

63

c)

277

d)

97

24.

Draw an angle with the given measure in standard position.

25.

Draw an angle with the given measure in standard position.

26.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

27.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

28.

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

a)

-288⁰

b)

-260⁰

c)

-275⁰

29.

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)

30.

What is cos 60°?

a)

½

b)

^√3/₂

c)

^√2/₂

d)

1

31.

What is sin 45°?

a)

1

b)

^√3/₂

c)

½

d)

^√2/₂

32.

What is cos 90°?

a)

½

b)

undefined

c)

1

d)

0

33.

Identify the Positive angle in both radians and degrees that represent point I.

a)

$180\degree,\ \pi$

b)

$210\degree,\ \frac{7\pi}{6}$

c)

$150\degree,\ \frac{5\pi}{6}$

d)

$360\degree,\ 2\pi$

34.

Find the exact value of the trig ratio.
$\cos\left(\frac{5\pi}{3}\right)$

a)

$-\frac{1}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{1}{2}$

d)

$-\frac{\sqrt{3}}{2}$

35.

¿Cuántos grados son π/6 radianes?

a)

30º

b)

40º

c)

45º

d)

90º

36.

Convierta $\frac{1}{5}\pi$ rad a grados sexagesimales

a)

36°

b)

39°

c)

33°

d)

41°

37.

Convierta 237° a radianes

a)

$\frac{79}{60}\pi\ \ rad$

b)

$\frac{79}{30}\pi\ \ rad$

c)

$\frac{62}{60}\pi\ \ rad$

d)

$\frac{5}{12}\pi\ \ rad$

38.

Convierta 37° a radianes

a)

$\frac{37}{180}\pi$ rad

b)

$\frac{37}{60}\pi$ rad

c)

$\frac{31}{60}\pi\ \ rad$

d)

$\frac{41}{60}\pi$ rad

39.

Convierta $\frac{2}{3}\pi$ rad a grados sexagesimales

a)

120°

b)

110°

c)

125°

d)

122°

40.

What is the period of this function?

a)

4π

b)

2π

c)

π

d)

½

41.

What's the amplitude and period of y=-4 cos (5x)?

a)

period = 4 amplitude = -5

b)

period = $\frac{5}{2\pi}$ and amplitude = 4

c)

period = $\frac{2\pi}{5}$ and amplitude = 4

d)

period = 2π amplitude = -4

42.

Which equation?

a)

y= -cos(2x)

b)

y= cos(2x)

c)

y= (1/2)cosx

d)

y= (-1/2)cosx

43.

How has this graph changed compared to y=sin(x)?

a)

Moved up

b)

Moved down

c)

Moved left

d)

Moved right

44.

How many cycles of sine function would this graph fit into 4π?

a)

1

b)

2

c)

3

d)

4

45.

Find the period of $y=2\sin\ \left(\frac{1}{4}x-\frac{\pi}{2}\right)$

a)

π/2

b)

8π

c)

4π

d)

π

46.

Find the minimum of $y=\ 4\cos\ \left(\frac{1}{4}\left(x+\pi\right)\right)-1$

a)

-5

b)

3

c)

3/75

d)

$\pi$

47.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

48.

5. Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.

a)

y = 5cos(x - pi) + 3

b)

y = 3cos(x - pi) + 5

c)

y = 3cos(2x - pi) + 5

d)

y = 5cos(2x - pi) + 3

49.

Choose the rigth answer

y = 3 sin (7x) - 2

a)

$period\ \frac{2}{7}\pi$ Amplitud 7 cycles 3 vertical shift -2

b)

-undefined Amplitud 3 cycles 7 vertical shift -2

c)

undefined Amplitud 7 cycles 3 phase shift +2

d)

undefined Amplitud 3 cycles 7 phase shift +2

50.

$y=\ 4\ \cos\ \left(\frac{1}{2}x+\pi\right)-2$ What is the end point of the phase shift for

a)

$3\pi$

b)

$\frac{\pi}{2}$

c)

$6\pi$

d)

$2\pi$

TRIGONOMETRIC FUNCTIONS

Total questions: 50

Worksheet time: 1hrs 14mins

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