Which values for Theta have the same reference angles?
StartFraction pi Over 6 EndFraction, StartFraction pi Over 3 EndFraction, StartFraction 5 pi Over 6 EndFraction
StartFraction pi Over 3 EndFraction, StartFraction 5 pi Over 6 EndFraction, StartFraction 4 pi Over 3 EndFraction
StartFraction pi Over 2 EndFraction, StartFraction 5 pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction
StartFraction pi Over 4 EndFraction, StartFraction 3 pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction

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Answer:

D) pi/4, 3*pi/4, 7*pi/4

Step-by-step explanation:

The values for theta that have the same reference angles are D. pi/4, 3pi/4, 7pi/4.

What is a reference angle?

A reference angle means the measure of the smallest, positive, acute angle that is formed by the terminal side of the angle. Therefore, positive reference angles possess terminal sides in the first quadrant.

For example, if the given angle is 110°, then the reference angle is 180° – 110° = 70°. Also, when the terminal side is in the third quadrant, the reference angle is the given angle minus 180°.

In this case, the values for theta that have the same reference angles are pi/4, 3pi/4, 7pi/4.

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