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Special Angles and Unit Circle Quiz

Total questions: 22

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

Which LETTERS on the given unit circle are related to the given type of reference angle?

45°

4 lines
2.

Which LETTERS on the given unit circle are related to the given type of reference angle?

 π3\frac{\pi}{3}  radians

4 lines
3.

Which LETTERS on the given unit circle are related to the given type of reference angle?

 π2\frac{\pi}{2}  radians

4 lines
4.

Which STANDARD POSITION ANGLE on the given unit circle is related to the given LETTER of reference angle?


given letter B   STATE BOTH DEGREE AND RADIAN ANSWER

4 lines
5.

Which STANDARD POSITION ANGLE on the given unit circle is related to the given LETTER of reference angle?


given letter M   STATE BOTH DEGREE AND RADIAN ANSWER

4 lines
6.

Which STANDARD POSITION ANGLE on the given unit circle is related to the given LETTER of reference angle?


given letter R   STATE BOTH DEGREE AND RADIAN ANSWER

4 lines
7.

State the EXACT COORDINATE  on the given unit circle is related to the given LETTER of reference angle?

(use root or sqrt to signify radical in answer when needed)
given letter L  

4 lines
8.

State the EXACT COORDINATE  on the given unit circle is related to the given LETTER of reference angle?

(use root or sqrt to signify radical in answer when needed)
given letter F  

4 lines
9.

State the EXACT COORDINATE  on the given unit circle is related to the given LETTER of reference angle?

(use root or sqrt to signify radical in answer when needed)
given letter D  

4 lines
10.

The ______________________ angles are the angles that do not actually lie in any quadrant

4 lines
11.

Determine the EXACT VALUE OF A in radians and degree provided that A lies in quadrant 3 and

 cos⁡ A=−12\cos\ A=\frac{-1}{2}  

4 lines
12.

Determine the EXACT VALUE OF B in radians and degrees provided that  0°<B<90°0\degree<B<90\degree  

 sec⁡ B=233\sec\ B=\frac{2\sqrt{3}}{3}  

4 lines
13.

Determine the EXACT VALUE OF C in radians and degrees provided that  3π2<C<2π\frac{3\pi}{2}<C<2\pi  

 tan⁡ C=−1\tan\ C=-1  

4 lines
14.

Determine the EXACT VALUE OF D in radians and degrees provided that  π<D<3π2\pi<D<\frac{3\pi}{2}  

 csc⁡ D=−2\csc\ D=-\sqrt{2}  

4 lines
15.

Determine the EXACT VALUE OF E in radians and degrees provided that  90°<E<180°90\degree<E<180\degree  

 sin⁡ E=12\sin\ E=\frac{1}{2}  

4 lines
16.

State the EXACT COORDINATE  on the given unit circle is related to the given angle?

(use root or sqrt to signify radical in answer when needed)
given angle  180°180\degree    

4 lines
17.

State the EXACT COORDINATE  on the given unit circle is related to the given angle?

(use root or sqrt to signify radical in answer when needed)
given angle  5π3\frac{5\pi}{3}    

4 lines
18.

State the EXACT COORDINATE  on the given unit circle is related to the given angle?

(use root or sqrt to signify radical in answer when needed)
given angle  315°315\degree    

4 lines
19.

State the EXACT COORDINATE  on the given unit circle is related to the given angle?

(use root or sqrt to signify radical in answer when needed)
given angle  120°120\degree    

4 lines
20.

State the only angle measurement of F (in degrees and radians) that cot F = tan F provided F < 0

4 lines
21.

EXTRA Credit:

In twenty years, what will you tell people about the year 2020?

4 lines
22.

EXTRA Credit:

If we went to an A/B Hybrid Schedule in January, then which of the following would you prefer?

a)

Being allowed to attend class virtually or in person (on A day in class on B day on computer)

b)

Being given an independent project to work on that has impact on your summative grade to be completed by you on your own

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