State the period of the function: $y = - 3 \sec \frac { \pi x } { 3 }$
A) $\frac { \pi } { 3 }$
B)6
C)8
D) $6 \pi$
E)12

Name: State the period of the function: $y = - 3 \sec \frac { \pi x } { 3 }$ A) $\frac { \pi } { 3 }$ B)6 C)8 D) $6 \pi$ E)12
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Question

State the period of the function:  $y = - 3 \sec \frac { \pi x } { 3 }$  
A)  $\frac { \pi } { 3 }$
B)6
C)8
D) $6 \pi$
E)12

Quizplus · Accepted Answer

The period of a secant function, sec(kx), is $ \frac { 2 \pi } { |k| }$. Here, $ k = \frac { \pi } { 3 }$, so the period is $ \frac { 2 \pi } { \frac { \pi } { 3 } } = 6$.

State the Period of the Function y=−3sec⁡πx3y = - 3 \sec \frac { \pi x } { 3 }y=−3sec3πx​

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