Consider for

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Consider

r=4\sin(2\theta)

for

0\le\theta\le\frac{\pi}{2}

. Determine (a) the angle

\theta

at which

r

attains its greatest positive value, (b) the corresponding maximum value of

r