Find the specified quantity.
-Find the period of $y = \sin \left( \frac { 1 } { 4 } x - \frac { \pi } { 2 } \right)$.
A) $\frac { \pi } { 2 }$
B) $8 \pi$
C) $4 \pi$
D) $5 \pi$

Question

Quizplus · Accepted Answer

The period of a sine function in the form $y = \sin(bx - c)$ is given by $T = \frac{2\pi}{|b|}$. Here, $b = \frac{1}{4}$, so the period is $T = \frac{2\pi}{1/4} = 8\pi$.

Find the Specified Quantity y=sin⁡(14x−π2)y = \sin \left( \frac { 1 } { 4 } x - \frac { \pi } { 2 } \right)y=sin(41​x−2π​)

Find the Specified Quantity $y = \sin \left( \frac { 1 } { 4 } x - \frac { \pi } { 2 } \right)$