Find the period of the trigonometric function. $y = \cot \frac { \pi x } { 6 }$
A) $\frac { \pi } { 6 }$
B) $6$
C) $\frac { \pi } { 3 }$
D) $\frac { \pi } { 2 }$
E) $\pi$

Question

Quizplus · Accepted Answer

The period of the cotangent function, $\cot x$, is $\pi$. For $\cot \frac{\pi x}{6}$, the period is obtained by dividing $\pi$ by the coefficient of $x$ inside the function, which is $\frac{\pi}{6}$. Therefore, the period is $\frac{\pi}{\frac{\pi}{6}} = 6$.

Find the Period of the Trigonometric Function y=cot⁡πx6y = \cot \frac { \pi x } { 6 }y=cot6πx​

Find the Period of the Trigonometric Function $y = \cot \frac { \pi x } { 6 }$