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

Answer:  π/6

Step-by-step explanation:

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

So this moves 2 rotations and π/6 clockwise.

Answer 2

Answer:

C

Step-by-step 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: $\frac{25\pi }{6} -\frac{12\pi }{6} -\frac{12\pi }{6} =\pi /6$.

Thus, the answer is C.