AnswersJPS-202526SS-Evergreen HS-Algebra II B-CR-NobleThe Unit Circle

The Unit Circle Answers

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1
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What is the reference angle for a 240° angle?

A
30°
B
60°
C
180°
D
270°
2
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What is the value of in the diagram below?

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Four-thirds
Option D
3

For which value of is ?

Question illustration
A
StartFraction pi Over 2 EndFraction
Option A
B
Pi
Option B
C
StartFraction 3 pi Over 2 EndFraction
Option C
D
2 pi
Option D
4

Which of the following explains why using the unit circle?

Question illustration
A
The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.
B
The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the x (sin) distance of a 30° angle is the same as the y (cos) distance of a 60° angle.
C
The ratios describe different sides of the same right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.
D
The ratios describe different sides of the same right triangle. On a unit circle, the x (sin) distance of a 30° angle is the same as the y (cos) distance of a 60° angle.
5

Which expression is equivalent to ?

Question illustration
A
sine StartFraction pi Over 6 EndFraction
Option A
B
sine StartFraction 5 pi over 3 EndFraction
Option B
C
sine StartFraction 5 pi over 3 EndFraction
Option C
D
sine StartFraction 11 pi Over 6 EndFraction
Option D
6

What is the value of in the unit circle below?

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option C
D
StartRoot 3 EndRoot
Option D
7

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Answer not available
9

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Answer not available
10

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Answer not available
11

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Answer not available
12

Which of the following explains why using the unit circle?

Question illustration
A
The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.
B
The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the x (sin) distance of a 30° angle is the same as the y (cos) distance of a 60° angle.
C
The ratios describe different sides of the same right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.
D
The ratios describe different sides of the same right triangle. On a unit circle, the x (sin) distance of a 30° angle is the same as the y (cos) distance of a 60° angle.
13

Question is locked

Question illustration
Answer not available
14

What is the value of in the unit circle below?

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option C
D
StartRoot 3 EndRoot
Option D
15

Question is locked

Question illustration
Answer not available
16

Which of the following best explains why ?

Question illustration
A
The angles do not have the same reference angle.
B
Cosine is negative in the second quadrant and positive in the fourth quadrant.
C
Cosine is positive in the second quadrant and negative in the fourth quadrant.
D
The angles do not have the same reference angle or the same sign.
17

Question is locked

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Answer not available
18

What is the value of in the diagram below?

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Four-thirds
Option D
19

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Answer not available
20

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