The Unit Circle Answers
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1
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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
2
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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
3
Which of the following is true of the values of x and y in the diagram below?
A
y < xB
y > xC
y + x = 1D
StartFraction y Over x EndFraction = 1
4
What is the value of in the diagram below?
A
StartFraction 7 Over 25 EndFraction
B
StartFraction 7 Over 24 EndFraction
C
StartFraction 24 Over 25 EndFraction
D
StartFraction 24 Over 7 EndFraction
5
On the unit circle, where , when is undefined?
A
and
B
sine theta = cosine theta
C
and
D
sin theta = StartFraction 1 Over cosine theta EndFraction
6
What is the value of in the diagram below?
A
Three-fifthsB
Three-fourthsC
Four-fifthsD
Four-thirds7
Which expression is equivalent to ?
A
sine StartFraction pi Over 6 EndFractionB
sine StartFraction 5 pi over 3 EndFractionC
sine StartFraction 5 pi over 3 EndFractionD
sine StartFraction 11 pi Over 6 EndFraction8
Which of the following best explains why ?
A
The angles do not have the same reference angle.B
Tangent is positive in the second quadrant and negative in the fourth quadrant.C
Tangent is negative in the second quadrant and positive in the fourth quadrant.D
The angles do not have the same reference angle or the same sign.9
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.10
Which of the following best explains why ?
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.Did you find these answers helpful?
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