AP

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Let

f(x)=3\sin 2x+4\cos 2x

for

0\le x\le\pi

. (i) Find the maximum value of

f(x)

in the given interval. (ii) Find the minimum value of

f(x)

in the given interval. (iii) Determine all values of

x

[0,\pi]

at which each of these extreme values occurs.