Determine the range of when varies over .

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

Problem

Determine the range of y=cos⁡xy=\cos x when xx varies over [π3,5π3]\left[\dfrac{\pi}{3},\dfrac{5\pi}{3}\right]. (a) [−1,1][-1,1] (b) [−12,12][-\dfrac{1}{2},\dfrac{1}{2}] (c) [−1,12][-1,\dfrac{1}{2}] (d) [0,12][0,\dfrac{1}{2}]

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