Statement I The period of f(x) = 2 1 3 (x - ) + 4 1 3 (x - ) is 3

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

Problem

Statement I The period of

f(x) = 2 \cos \frac{1}{3}(x - \pi) + 4 \sin \frac{1}{3}(x - \pi) \text{ is } 3\pi.

Statement II If

T

is the period of

f(x)

, then the period of

f(ax + b)

\frac{T}{|a|}