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Week 2 Homework

Total questions: 25

Worksheet time: 33mins

Name
Class
Date
1.

In a simplified 30-60-90 triangle, the length of the hypotenuse is...

a)

2\sqrt{2}

b)

3\sqrt{3}

c)

3

d)

2

2.

π3\frac{\pi}{3}  is equivalent to what degree measure?

a)

90 degrees

b)

30 degrees

c)

45 degrees

d)

60 degrees

3.

sin 30 =

a)

0

b)

1/2

c)

√2/2

d)

√3/2

e)

1

4.

sin 60 =

a)

0

b)

1/2

c)

√2/2

d)

√3/2

e)

1

5.

cos 45 =

a)

0

b)

1/2

c)

√2/2

d)

√3/2

e)

1

6.

tan 30 =

a)

0

b)

1

c)

√3

d)

√3/3

7.
What is the radius of the unit circle?
a)
0
b)
1
c)
1/2
d)
√2/2
8.
What is the value of cosine at 135
a)
0
b)
1/2
c)
√2 /2
d)
-√2 /2
9.
What is the value of sine at 210?
a)
1/2
b)
-1/2
c)
√3 / 2
d)
-√3 / 2
10.
At what point are sine and cosine the same value?
a)
0
b)
90
c)
45
d)
60
11.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
12.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
13.
Convert the following to degrees:
-8π/5 radians
a)
-288⁰
b)
-260⁰
c)
-275⁰
14.
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
15.
*
a)
csc x
b)
sec x
c)
cot x
d)
tan x
16.

Write the equation of the trigonometric function graphed.

a)

y=cosx

b)

y= - cosx

c)

y=sinx

d)

y = - sinx

17.

Write the equation of the function graphed:

a)

y = cosx

b)

y = - cosx

c)

y = sinx

d)

y = - sinx

18.
The __________ represents half the distance between the max and min of a sine or cosine graph. 
a)
Period
b)
Frequency
c)
Extreme Values
d)
Amplitude
19.
Which value represents a vertical shift in the following function y=a*sin(bx - c)+d?
a)
a
b)
b
c)
c
d)
d
20.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
21.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
22.
What is the amplitude of y = 3 cos 2x?
a)
3
b)
2
c)
90
90⁰
d)
350⁰
23.
Where does the graph of y = cos x begin?
a)
(0,0)
b)
(0,1)
c)
(0, Pi)
d)
(1, Pi)
24.
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 
25.

Write the equation for a sine function with an amplitude of 6 and a vertical shift of -2

a)

y=6sin(x)-2

b)

y=-2sin(x)+6

c)

y=3sin(x)+2

d)

y=3sin(x)-2