For the polar curve on the interval

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

Problem

For the polar curve r=3+2cos⁡θr=3+2\cos\theta on the interval 0≤θ≤2π0\le\theta\le2\pi, at which value of θ\theta is the distance from the pole minimized? (a) 00 (b) π2\dfrac{\pi}{2} (c) 2π3\dfrac{2\pi}{3} (d) π\pi

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