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Unit 4 Review- Trig

Total questions: 60

Worksheet time: 58mins

Name
Class
Date
1.
sin 30°
a)
0
b)
1/2
c)
-1
d)
3/2
2.
7π/6=?
a)
300°
b)
30°
c)
120°
d)
210°
3.
sin 330°
a)
-1/2
b)
√3/2
c)
1/2
d)
-√3/2
4.
cos 60°
a)
√3/2
b)
1/2
c)
0
d)
1
5.
225°=?
a)
π/6
b)
π/4
c)
5π/4
d)
-π/6
6.
5π/3=?
a)
90°
b)
120°
c)
300°
d)
180°
7.
180°=?
a)
2π
b)
π
c)
π/2
d)
3π
8.
cos 135°
a)
-√2/2
b)
1/2
c)
-1/2
d)
1
9.
sec 3π/2
a)
0
b)
undefined
c)
1
d)
-1
10.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
11.
cot 3π/4
a)
-√2/2
b)
-1
c)
1
d)
√2/2
12.
cot π/2
a)
undefined
b)
0
c)
1
d)
1/2
13.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
14.

What is the equivalent of 13π/6 in degrees?

a)

300o

b)

330o

c)

360o

d)

390o

15.

What is sec -330o ?

a)

√3 /2

b)

2√3 / 3

c)

√2 /2

d)

1/2

16.

Which represents the amplitude of the function

y=a sin b(x-c) +d ?

a)

a

b)

b

c)

c

d)

d

17.

Which represents the vertical shift of the function

y= a sin b(x-c) + d ?

a)

a

b)

b

c)

c

d)

d

18.

What is the amplitude of y= -3 sin x ?

a)

3

b)

-3

c)

1

d)

-1

19.

It refers to one complete cycle of the graph of the sine function.

a)

Domain

b)

Range

c)

Amplitude

d)

Period

20.

What is the period of y=Sin 2x ?

a)

π/2

b)

3π/2

c)

π

d)

2π

21.
Tangent is...
a)
a. Opposite/hypotenuse
b)
b. sine/cosine
c)
c. neither a or b
d)
d. both a and b
22.
For what angles are sine and cosine the same?
a)
0o
b)
45o and 1350
c)
45o and 2250
d)
45o and 3150
23.
What is tan 30°?
a)
½
b)
√2/2
c)
√3/2
d)
√3/3
24.
The hypotenuse of any right triangle from the center of the unit circle to an edge is always
a)
1
b)
sqt2/2
c)
sqt3/2
d)
1/2
25.
Which quadrant is angle -13π/4 in?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
26.
What quadrant is 1150° in?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
27.
A negative angle goes in which direction...
a)
Counterclockwise
b)
Clockwise
28.
A positive angle goes in which direction...
a)
Counterclockwise
b)
Clockwise
29.
In which quadrant would you find an angle measuring θ = -740°
a)
1
b)
2
c)
3
d)
4
30.
Where does the graph of y=sin(x) begin its first cycle?
a)
(0,0)
b)
(1,0)
c)
(0,Pi)
d)
(1, Pi)
31.
Where does the graph of cosine begin?
a)
(0,0)
b)
(0,1)
c)
(0, Pi)
d)
(1, Pi)
32.
What is the shift for
y = 4 cos(x +π) - 2?
(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )
a)
up 2
b)
left 2
c)
right 2
d)
down 2
33.

For the graph shown, which values represent the x - intercepts?

a)

multiples of π⁄2

b)

multiples of π

34.

The amplitude of a sine or cosine function can be described as the ______________________ of the function.

a)

mid-line (middle)

b)

vertical shift (translation)

c)

height/vertical stretch

35.

Name the function and how many units the graph shifted vertically.

a)

sine, 3 units up

b)

cosine, 3 units down

c)

cosine, 3 units up

d)

sine, 3 units up

36.

The y - intercept of the cosine function is

a)

(0,0)

b)

(π/2,0)

c)

(0, 1)

d)

(− 3π⁄2, 0)

37.

The function y = 2 sin θ transforms the parent function y = sin θ by _________________________

a)

stretching the graph vertically by a factor of 2

b)

translating the graph vertically up 2 units

38.

Describe the transformation of the parent function y = sin θ to y = 3 sin θ − 2 (Hint: Identify the values of A & D) Remember : y = A sin B(θ − C) + D

a)

stretches vertically by a factor of 3, and up 2 units

b)

stretches horizontally by a factor of 3 and down 2 units

c)

stretches vertically by a factor of 3 and down 2 units

d)

stretches horizontally by a factor of 3 and up 2 units

39.
Which function represents the graph?
a)
f(x) = cos (⅓ x)
b)
f(x) = ⅓ cos x
c)
f(x) = ⅓ sin x
d)
f(x) = sin (⅓ x)
40.
What is the period of this equation?
y = -5sin(3x)
a)
-5
b)
2pi/3
c)
2pi/5
d)
3
41.
What is the amplitude of this equation?
y = -10cos(5x)
a)
-10
b)
5
c)
2pi/5
d)
10
42.
What is the equation of the graph shown?
a)
y=1/2cos2x
b)
y=1/2sin4x
c)
y=1/2cos4x
d)
y=4cos1/2x
43.
What is the equation of this graph?
a)
y=cos2x
b)
y=2sin2x
c)
y=2cos2x
d)
y=2sinx
44.
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
45.
This is the equation of which graph?
a)
y= cot x
b)
y = tan x
c)
y = cot-1 x
d)
y = tan-1 x
46.
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
47.
Secant is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
48.
What is the phase shift of the following
-3 tan (x) +1
a)
none
b)
-3
c)
up 1
d)
2π
49.
Does the graph of sine have asymptotes?
a)
no
b)
yes, at multiples of π
c)
sometimes
d)
yes at multiples of 2π
50.
What will be the range of y-values of y = 3sin(x) 
a)
-3 to 3
b)
-1 to 3
c)
-1 to 1
d)
-3 to 1
51.
What is the equation of the blue graph?
a)
y = 2sin x
b)
y = sin(2x)
c)
y = sin(x + 2)
d)
y = sin x - 2
52.
Which equation?
a)
y= -cos(2x)
b)
y= cos(2x)
c)
y= (1/2)cosx
d)
y= (-1/2)cosx
53.
Where has the "x-axis" been moved for
y=2cos(1/3x +π/6) +2
a)
1/3
b)
-2
c)
2
d)
4
54.
How long it takes for a periodic function to repeat itself is called _?_
a)
amplitude
b)
period
c)
zeros
d)
asymptotes
55.

A line that continually approaches a given curve but does not meet it at any finite distance.

a)

amplitude

b)

period

c)

zeros

d)

asymptotes

56.
Give the domain of cosine.
a)
All real numbers
b)
-1 ≤ x ≤ 1
c)
All real numbers except odd multiples of π / 2
d)
All real numbers except for multiples of π
57.
Give the range of sine.
a)
All real numbers
b)
-1 ≤ y ≤ 1
c)
All real numbers except for odd multiple of π / 2
d)
All real numbers except for multiples of π
58.
What does a negative A value cause?
a)
A negative amplitude
b)
A reflection across the Y axis
c)
No effect
d)
A reflection across X axis
59.

How many "key points" should be included in every cycle/period of a sine or cosine graph?

Hint: Think about how many points you plot when graphing.

a)

As many as I want

b)

It depends on the graph

c)

4

d)

5

60.
The period of a sine or cosine graph can be found by ....
a)
It's always 2π
b)
2π/B
c)
B(2π)
d)
2π+B

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