State the period of the function: $$y = \frac { 1 } { 2 } \sec \frac { \pi x } { 5 }$$
A)14
B)10
C) $$\frac { \pi } { 5 }$$
D) $$10 \pi$$
E)12

Question

State the period of the function:​ $$y = \frac { 1 } { 2 } \sec \frac { \pi x } { 5 }$$ ​
A)​14
B)10
C) $$\frac { \pi } { 5 }$$
D) $$10 \pi$$
E)12

Quizplus · Accepted Answer

The period of the secant function, $\sec(Bx)$, is given by $\frac{2\pi}{|B|}$. For the function $y = \frac{1}{2}\sec\left(\frac{\pi x}{5}\right)$, $B = \frac{\pi}{5}$, so the period is $\frac{2\pi}{\frac{\pi}{5}} = 10$.

State the Period of the Function:​ y=12sec⁡πx5y = \frac { 1 } { 2 } \sec \frac { \pi x } { 5 }y=21​sec5πx​

State the Period of the Function: $y = \frac { 1 } { 2 } \sec \frac { \pi x } { 5 }$