State the period of the function: $$y = \tan \frac { x } { 3 }$$
A) $5 \pi$
B) $\frac { \pi } { 2 }$
C) $6 \pi$
D) $3 \pi$
E) $4 \pi$

Name: State the period of the function: \[y = \tan \frac { x } { 3 }\] A) $5 \pi$ B) $\frac { \pi } { 2 }$ C) $6 \pi$ D) $3 \pi$ E) $4 \pi$
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Question

State the period of the function: ​​ $$y = \tan \frac { x } { 3 }$$ ​
A) $5 \pi$
B) $\frac { \pi } { 2 }$
C) $6 \pi$
D) $3 \pi$
E) $4 \pi$

Quizplus · Accepted Answer

The period of the tangent function, $\tan(x)$, is $\pi$. For $\tan\left(\frac{x}{3}\right)$, the period is scaled by the coefficient of $x$, which is $\frac{1}{3}$. Therefore, the period is $\pi \times 3 = 3\pi$.

State the Period of the Function: ​​ y=tan⁡x3y = \tan \frac { x } { 3 }y=tan3x​

State the Period of the Function: $y = \tan \frac { x } { 3 }$