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Evaluating Trig and the Unit Circle!

Total questions: 35

Worksheet time: 40mins

Name
Class
Date
1.
Which of the following is closest to the measure of the angle drawn by the green curve?
a)
5/6 π
b)
5/3 π
c)
4/5 π
d)
4/3 π
2.
Which of the following is closest to the measure of the angle shown?
a)
30º
b)
40º
c)
395º
d)
440º
3.
Find the measure of each angle
a)
a
b)
b
c)
c
d)
d
4.
Find the measure of each angle
a)
a
b)
b
c)
c
d)
d
5.
What is the reference angle for 240 degrees?
a)
60 degrees
b)
30 degrees
c)
45 degrees
d)
210 degrees
6.
Find a coterminal angle to -180 degrees.
a)
180
b)
90
c)
270
d)
360
7.
Find an angle coterminal with an angle which measures 11π ∕ 3.
a)
17 π / 3
b)
4π ∕ 3
c)
π ∕ 3
d)
8π ∕ 3
8.
Which quadrant is -570⁰
a)
I
b)
II
c)
III
d)
IV
9.
Convert 60 degrees to radians.
a)
π/3
b)
π/6
c)
60π
d)
12π
10.
Convert 3π/2 radians to degrees.
a)
540°
b)
1.5°
c)
270°
d)
360°
11.
Find an angle coterminal with an angle which measures 11π ∕ 3.
a)
17 π / 3
b)
4π ∕ 3
c)
π ∕ 3
d)
8π ∕ 3
12.

What quadrant is 7π/3?

a)

I

b)

II

c)

III

d)

IV

13.
Name the quadrant in which the terminal side lies: -π/12
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
14.
What is a complete circle in radians?
a)
π
b)
2π
c)
1/2 π
d)
1
15.
Standard position is when .....
a)
the initial side of the angle is on the positive x-axis.
b)
the initial side of the angle is on the negative x-axis.
c)
the initial side of the angle is on the positive y-axis.
d)
the initial side of the angle is on the negative y-axis.
16.
Negative angles are measured in which direction from standard position?
a)
Clockwise
b)
Counterclockwise
17.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
18.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
19.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
20.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
21.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
22.
tan 270
a)
0
b)
1
c)
-1
d)
undefined
23.

Evaluate the trigonometric functions using your unit circle.

a)

2

b)

(2√3)/3

c)

1/2

d)

√3/2

24.

Evaluate the trigonometric functions using your unit circle.

a)

√3/2

b)

1/2

c)

-1/2

d)

-√3/2

25.

Evaluate the trigonometric functions using your unit circle.

a)

-1/2

b)

1/2

c)

-2

d)

-√3/2

26.

Evaluate the trigonometric functions using your unit circle.

a)

-1

b)

1

c)

√2/2

d)

-√2/2

27.

Evaluate the trigonometric functions using your unit circle.

a)

√2

b)

√2/2

c)

-√2

d)

-√2/2

28.

Evaluate the trigonometric functions using your unit circle.

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

29.
Evaluate sec ( 5π / 6 )
a)
1
b)
0
c)
√3 / 2
d)
2√3 / 3
30.

Evaluate csc (2π)

a)

1

b)

0

c)

2

d)

∅ (undefined)

31.
Evaluate Cos (π)
a)
2
b)
1
c)
√2 / 2
d)
-1
32.
a)
√2
b)
√2 / 2
c)
1
d)
1 / √2
33.
a)
1
b)
-1
c)
0
d)
Undefined
34.

What is true about the radians in the second quadrant of the unit circle?

a)

The numerator is one more than the denominator.

b)

The numerator is one less than the denominator.

c)

The numerator is one.

d)

The numerator is double the denominator minus one.

35.

What is Miss Popp's new last name going to be?

a)

Peterson

b)

Pascal

c)

Polynomial

d)

Parabola

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