Free Printable 3.2 - 3.3 Sine-Cosine-Tangent

1.

Which function is the reciprocal function of the cosine?

a)

sine

b)

cosecant

c)

secant

d)

tangent

2.

sin 150

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

3.

cos 90

a)

0

b)

1

c)

-1

d)

undefined

4.

tan 270

a)

0

b)

1

c)

-1

d)

undefined

5.

What is tan 90°?

a)

1

b)

undefined

c)

0

d)

½

6.

What is tan 60°?

a)

1

b)

½

c)

√3

d)

^√3/₃

7.

What is cos 30°?

a)

^√3/₂

b)

½

c)

^√2/₂

d)

1

8.

How many degrees is ^π/₆ radians?

a)

90°

b)

60°

c)

45°

d)

30°

9.

How many degrees is ^π/₄ radians?

a)

30°

b)

45°

c)

60°

d)

90°

10.

How many degrees is ^π/₃ radians?

a)

30°

b)

45°

c)

60°

d)

90°

11.

How many degrees is ^π/₂ radians?

a)

30°

b)

45°

c)

60°

d)

90°

12.

What is the value of cosine at 315

a)

0

b)

1

c)

√2 / 2

d)

-√2 /2

13.

What is the order of the coordinate pairs for the points on the Unit Circle?

a)

$\left(\tan\theta,\sin\theta\right)$

b)

$\left(\cot\theta,\cos\theta\right)$

c)

$\left(\sin\theta,\cos\theta\right)$

d)

$\left(\cos\theta,\sin\theta\right)$

14.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

15.

cos(5π/3)

a)

-√2/2

b)

-1/2

c)

1/2

d)

√3/2

16.

tan(3π/4)

a)

√2/2

b)

-√2/2

c)

√3/2

d)

-1

17.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

18.

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)

19.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

20.

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

21.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

22.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

23.

a)

-√3/2

b)

-½

c)

-√2/2

d)

-1

24.

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

a)

y

b)

x

c)

x/y

d)

y/x

25.

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

a)

y

b)

x

c)

x/y

d)

y/x

26.

What is the radian measure at $315\degree$ ?

a)

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

b)

$\frac{\pi}{2}$

c)

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

d)

$\frac{7\pi}{6}$

27.

True or False. Only the cosine trig functions is positive in Quadrant II.

a)

True

b)

False

28.

The degree equivalent to $\frac{3\pi}{2}$ is (a) $\degree$

(DO NOT TYPE THE DEGREE SYMBOL)

29.

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

30.

sin 0

a)

0

b)

1

c)

-1

d)

und

31.

cos 0

a)

0

b)

-1

c)

1

d)

und

32.

tan 0

a)

0

b)

1

c)

-1

d)

und

33.

Find the exact value of the trig ratio.
$\cos\left(-120\degree\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

34.

Find the exact value of the trig ratio.
$\sin\left(-\frac{11\pi}{6}\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

35.

The formula for the unit circle is

a)

$a^2+b^2=c^2$

b)

$x^2+y^2=1$

c)

$y=mx+b$

d)

$x+y=1$

e)

$\sin+\cos=\tan$

36.

If $\sec\theta<0$ , which quadrants could $\theta$ be in?

a)

Quadrant I and II

b)

Quadrant II and III

c)

Quadrant III and IV

d)

Quadrant I and IV

37.

Given $\cos\theta=-\frac{2}{9}$ and $\theta$ is in Quadrant III, what is $\sin\theta$ ?

a)

$-\frac{7}{9}$

b)

$-\frac{9}{2}$

c)

$-\frac{\sqrt{77}}{9}$

d)

$\frac{\sqrt{77}}{9}$

e)

$\frac{1}{9}$

38.

If $\sin\theta>0$ and $\cot\theta<0$ which quadrant is $\theta$ in?

a)

I

b)

II

c)

III

d)

IV

39.

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

40.

The terminal side of a 330° angle is in what Quadrant?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

41.

Match the following. Assume θ is an angle in standard position.

a)

sin⁡θ

1.

Displacement of θ from y-axis

b)

cos⁡θ

2.

Displacement of θ from x-axis

c)

tan⁡θ

3.

Slope of the terminal side θ

42.

A reference angle has...

a)

to be negative, obtuse and has to be in the y- axis

b)

to be positive, acute and has to have the terminal side and standard position

c)

to negative, acute and has to have the terminal side and standard position

d)

to positive, obtuse and has to have the terminal side and standard position

43.

Which graph represents an angle in standard position with a measure of $\frac{\pi}{5}$ ?

a)

b)

c)

d)

44.

A positive angle goes in which direction...

a)

Counterclockwise

b)

Clockwise

45.

A negative angle goes in which direction...

a)

Counterclockwise

b)

Clockwise

46.

Let 𝜃 be the angle in standard position such that OP is the terminal ray. What is sin⁡𝜃?

a)

sin𝜃 = 4

b)

sin𝜃 = 4/5

c)

sin𝜃 = 3

d)

sin𝜃 = 3/5

47.

Find the reference angle

a)

$361\degree$

b)

$181\degree$

c)

$91\degree$

d)

$81\degree$

48.

Determine the reference angle

a)

$70\degree$

b)

$290\degree$

c)

$180\degree$

d)

$80\degree$

49.

Find the reference angle

a)

$25\degree$

b)

$17\degree$

c)

$163\degree$

d)

$34\degree$

50.

a)

$135\degree$

b)

$25\degree$

c)

$45\degree$

d)

$225\degree$

51.

sin θ is positive in which quadrants?

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

52.

Select ALL angles that have a negative sine.

a)

120

b)

180

c)

225

d)

300

53.

In which quadrant sine positive AND cotangent negative?

a)

Quad I

b)

Quad II

c)

Quad III

d)

Quad IV

54.

On the unit circle, which radian measure represents the point (-^√3/₂, -¹/₂)

a)

^11π/₆

b)

^5π/₃

c)

^7π/₆

d)

^4π/₃

55.

What is the radian measure at $60\degree$ ?

a)

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

b)

$\frac{\pi}{6}$

c)

$\frac{2\pi}{3}$

d)

$\frac{\pi}{3}$

56.

Given $\sin\theta=\frac{1}{2}$ and $\theta$ is in Quadrant II, what is $\cos\theta$ ?

a)

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

b)

$\frac{1}{2}$

c)

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

d)

$-\frac{1}{2}$

57.

How many degrees is ^π/₂ radians?

a)

30°

b)

90°

c)

45°

d)

60°

3.2 - 3.3 Sine-Cosine-Tangent

Total questions: 57

Worksheet time: 29mins

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