Question

Find an angle in the normal range (0° to 360°, 0 to 2 pi radians) whose terminal side points in the same direction as the terminal side of an angle measuring 25pi/6.

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Answer 1

C

Explanation:

An angle of the measure
`25\pi /6` should have the same measure as an angle measured
`(25\pi /6)-2\pi` because this is periodic. We can then keep subtracting
`2\pi` from
`25\pi /6` until we get down to the smallest possible positive radian value:
`(25\pi )/(6) -(12\pi )/(6) -(12\pi )/(6) =\pi /6`.

Thus, the answer is C.

Answer 2

Answer: π/6

Explanation:

Positive means counterclockwise. 2π is one rotation. Note that 2π = 12π/6

So this moves 2 rotations and π/6 clockwise.