The range of principal values of is

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

The range of principal values of y=arctan⁡xy=\arctan x is (a) (−π2,π2](-\tfrac{\pi}{2},\tfrac{\pi}{2}] (b) (0,π)(0,\pi) (c) (−π2,π2)(-\tfrac{\pi}{2},\tfrac{\pi}{2}) (d) [−π2,π2][-\tfrac{\pi}{2},\tfrac{\pi}{2}]

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