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QUIZ 8.1-8.4 Trig

Total questions: 38

Worksheet time: 27mins

Name
Class
Date
1.

what is sec(θ)

a)

12 / 13

b)

5 / 15

c)

15/ 5

d)

13 / 12

2.

Which quadrant does the terminal side of the angle of 230⁰ lie when it is in standard position?

a)

I

b)

II

c)

III

d)

IV

3.

Which quadrant does the terminal side of the angle of -570⁰ lie when it is in standard position?

a)

I

b)

II

c)

III

d)

IV

4.
Choose the correct ratio.
a)
sin-1(12/29)
b)
cos-1(12/29)
c)
tan-1(12/29)
d)
tan-1(29/12)
5.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
6.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
7.
Positive angles are measured in which direction from standard position?
a)
Clockwise
b)
Counterclockwise
8.
Negative angles are measured in which direction from standard position?
a)
Clockwise
b)
Counterclockwise
9.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
10.

Let (-4, 3) be a point on the terminal side of θ. What is tan θ?

a)

-4/5

b)

-3/4

c)

3/5

d)

4/5

11.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

12.

Let (12,-5) be a point on the terminal side of θ.

What is Cos ø?

a)

13/12

b)

12/13

c)

-5/13

d)

-5/12

13.

Let (12,-5) be a point on the terminal side of θ.

What is Cos ø?

a)

13/12

b)

12/13

c)

-5/13

d)

-5/12

14.

Let (3,4) be a point on the terminal side of θ. What is sec ø?

a)

4/3

b)

3/4

c)

5/3

d)

2/3

15.

let (-3,-3) be a point on the terminal side of θ.

What is cot θ?

a)

1

b)

2

c)

3

d)

Not me

16.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
17.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
18.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
19.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
20.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
21.
4.  Determine an equation for this graph:
a)
y=csc(x)
b)
y=sec(x)
c)
y=cot(x)
d)
y= tan(x)
22.
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
23.
6.  What is the vertical shift for y = 4cos(1/2x +π) - 2?
a)
up 2
b)
left 2
c)
right 2
d)
down 2
24.
8.  What is the period for y = 4cos(1/2x +π) - 2?
a)
pi/2
b)
pi
c)
3pi
d)
4pi
25.
9.  What is the amplitude for y = 4cos(1/2x +π) - 2?
a)
2
b)
pi/2
c)
pi
d)
4
26.
9.  What is the amplitude for y = 4cos(1/2x +π) - 2?
a)
2
b)
pi/2
c)
pi
d)
4
27.
10.  What is the equation of the graph?
a)
 y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x 
28.
12.  What is the vertical shift? 
a)
Down 1
b)
Down 5
c)
Down 3
d)
Down 4
29.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
30.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
31.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
32.
What is the phase shift?
y=3cos(2x)
a)
π
b)
2π
c)
1/2π
d)
none
33.
What is the range?
y=3cos(2x)
a)
(-3,3) 
b)
[-2,2]
c)
[-3,3]
d)
[3,-3]
34.
Which function below matches this graph?
a)
tan(x-π/4)
b)
tan(x+π/4)
c)
cot(x)
d)
π/4cot(x)
35.
Determine an equation for this graph:
a)
y=csc(x)
b)
y=sec(x)
c)
y=cot(x)
d)
y= tan(x)
36.
The horizontal length required to complete one cycle.
a)
Period
b)
Cycle
c)
Axis of Oscillation
d)
Amplitude
37.

Which formula do you use to discover the Period for sin and cos functions?

a)

Period=2π/b

b)

Period=b/2π

c)

Period=b/π

d)

Period=π/b

38.

What are the domain and range of both y=sin(x) and y=cos(x)?

a)

D: (-∞, ∞)

R: [-1, 1]

b)

D: (-∞, ∞)

R: [-π, π]

c)

D: (∞, -∞)

R: [-1, 1]

d)

D: (-∞, ∞)

R: [-∞, ∞]

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