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?
A
Three-fifths
B
Three-fourths
C
Four-fifths
D
Four-thirds
3
For which value of is ?
A
StartFraction pi Over 2 EndFraction
B
Pi
C
StartFraction 3 pi Over 2 EndFraction
D
2 pi
4
Which of the following explains why using the unit circle?
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 ?
A
sine StartFraction pi Over 6 EndFraction
B
sine StartFraction 5 pi over 3 EndFraction
C
sine StartFraction 5 pi over 3 EndFraction
D
sine StartFraction 11 pi Over 6 EndFraction
6
What is the value of in the unit circle below?
A
One-half
B
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
D
StartRoot 3 EndRoot
7
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9
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10
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