State the period of the function. $$y = \frac { 1 } { 2 } \sec \frac { \pi x } { 3 }$$
A) 10
B) 6
C) $\frac { \pi } { 3 }$
D) $6 \pi$
E) 8

Name: State the period of the function. \[y = \frac { 1 } { 2 } \sec \frac { \pi x } { 3 }\] A) 10 B) 6 C) $\frac { \pi } { 3 }$ D) $6 \pi$ E) 8
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Question

State the period of the function. $$y = \frac { 1 } { 2 } \sec \frac { \pi x } { 3 }$$ 
A) 10
B) 6
C) $\frac { \pi } { 3 }$
D) $6 \pi$
E) 8

Quizplus · Accepted Answer

The period of the secant function, $\sec(Bx)$, is given by $\frac{2\pi}{|B|}$. Here, $B = \frac{\pi}{3}$, so the period is $\frac{2\pi}{\frac{\pi}{3}} = 6$.

State the Period of the Function y=12sec⁡πx3y = \frac { 1 } { 2 } \sec \frac { \pi x } { 3 }y=21​sec3πx​

State the Period of the Function $y = \frac { 1 } { 2 } \sec \frac { \pi x } { 3 }$