Find the period of the function $y = \frac { 1 } { 5 } \cot x$
A) $\frac { \pi } { 5 }$
B) $5 \pi$
C) $\pi$
D) $\frac { 2 \pi } { 5 }$
E) $\frac { 5 \pi } { 2 }$

Question

Quizplus · Accepted Answer

The period of the cotangent function, $\cot x$, is $\pi$. The coefficient $\frac{1}{5}$ in front of $\cot x$ does not affect the period, only the amplitude. Therefore, the period of $y = \frac{1}{5}\cot x$ remains $\pi$.

Find the Period of the Function y=15cot⁡xy = \frac { 1 } { 5 } \cot xy=51​cotx

Find the Period of the Function $y = \frac { 1 } { 5 } \cot x$