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Sine, Cosine, Tangent Trig (Unit Circle and Graphs)

Total questions: 37

Worksheet time: 53mins

Name
Class
Date
1.

cos(30o)

a)

- ½

b)

32\frac{\sqrt{3}}{2}

c)

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

d)

½

2.

sin(π/4)

a)

-1

b)

−22-\frac{\sqrt{2}}{2}

c)

1

d)

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

3.

tan(0o)

a)

1

b)

0

c)

√2

d)

UND

4.

Choose the best match for the graph.

a)

30o

b)

45o

c)

60o

d)

90o

5.

Choose the best match for the graph.

a)

π4\frac{\pi}{4}

b)

π2\frac{\pi}{2}

c)

2π3\frac{2\pi}{3}

d)

π\pi

6.
Choose the best match for the graph.
a)
30o
b)
45o
c)
60o
d)
90o
7.

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

a)

y

b)

x

c)

x/y

d)

y/x

8.

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

a)

y

b)

x

c)

x/y

d)

y/x

9.
Based on the unit circle, what is the value of tan?
a)
y/r
b)
x/r
c)
r/y
d)
y/x
10.
What is the radius of the unit circle?
a)
0
b)
1
c)
1/2
d)
√2/2
11.
What is the range of y = sin x  ?
a)
{-1 < y < 1}
b)
{-1 ≤ y ≤ 1}
c)
{-1 < x < 1}
d)
{-1 ≤ x ≤ 1}
12.

The value of sin 45° is ...

a)

0

b)

½

c)

32\frac{\sqrt{3}}{2}

d)

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

13.
Which of
A sin B(x – C) + D
affects the period?
a)
A
b)
B
c)
C
d)
D
14.
What does C do in the function
A sin B(x – C) + D
?
a)
Changes the amplitude
b)
Changes the period
c)
Changes the vertical position of the 'waves'
d)
Changes the horizontal position of the 'waves'
15.
Which describes the midline of the function
-3 sin 2(x – 40°) + 7
?
a)
x = 7
b)
y = 7
c)
x = 1
d)
y = 4
16.

How could you transform sin(x) into cos(x)?

a)

sin (x +90°) = cos x

b)

sin (x –90°) = cos x

c)

sin (x +180°) = cos x

d)

sin (x –180°) = cos x

17.

What is the equation of the graph shown?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

18.

Which parent function is shown?

a)

y = sin x

b)

y = cos x

c)

y = tan x

d)

y = csc x

19.

Which of the following parent functions do NOT have a period of  2\pi ? 

a)

y = sin x

b)

y = tan x

c)

y = cos x

20.

Select all that apply to

 y=tan⁡θy=\tan\theta  

a)

"increases" the entire domain

b)

"decreases" the entire domain

c)

x-intercept at the origin

d)

asymptote at x = 0

21.

Which parent functions include the point (0, 0)?

a)

sine and cosine

b)

cosine and tangent

c)

sine only

d)

sine and tangent

22.
sin(5π/4)
a)
-1
b)
√2/2
c)
√3/2
d)
-√2/2
23.

cos(150o)

a)

- ½

b)

-√3/2

c)

2√3 /3

d)

½

24.

Which graph is shown?

a)

y=csc⁡(x)y=\csc\left(x\right)

b)

y=sec⁡(x)y=\sec\left(x\right)

c)

y=cot⁡(x)y=\cot\left(x\right)

d)

y=tan⁡(x)y=\tan\left(x\right)

25.

Select the trig function(s) with a Domain of All Reals.

a)

 y=sin⁡xy=\sin x  

b)

 y=cos⁡xy=\cos x  

c)

 y=tan⁡xy=\tan x  

26.

Select the trig function(s) with a Range of All Reals.

a)

 y=sin⁡xy=\sin x  

b)

 y=cos⁡xy=\cos x  

c)

 y=tan⁡xy=\tan x  

27.

Which of these graphs has NO maximum or minimum?

a)


y=sin⁡xy=\sin x

b)

y=cos⁡xy=\cos x

c)

y=tan⁡xy=\tan x

28.

Which graphs have a minimum y-value of -1?

a)


y=sin⁡xy=\sin x

b)

y=cos⁡xy=\cos x

c)

y=tan⁡xy=\tan x

29.

Which graphs have a maximum y-value of 1?

a)


y=sin⁡xy=\sin x

b)

y=cos⁡xy=\cos x

c)

y=tan⁡xy=\tan x

30.

The "stretch" of the parent sine and cosine functions is called the _.

(a)  

31.

The amount it takes for a trig function to complete one full cycle is called the _.

(a)  

32.

The equation of the horizontal line that divides a trig function into two equal parts is called the _.

(a)  

33.

The sine values in Quadrant II are

a)

positive

b)

negative

34.

The sine values in Quadrant IV are

a)

positive

b)

negative

35.

The cosine values in Quadrant IV are

a)

positive

b)

negative

36.

The cosine values in Quadrant III are

a)

positive

b)

negative

37.

The tangent values in Quadrant III are

a)

positive

b)

negative