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

Question

Quizplus · Accepted Answer

The period of a sine function is given by $2\pi / |b|$, where $b$ is the coefficient of $x$ in the argument of the sine function. Here, $b = \frac{1}{2}$, so the period is $2\pi / \frac{1}{2} = 4\pi$.

Find the Specified Quantity y=5sin⁡(12x−π2)y = 5 \sin \left( \frac { 1 } { 2 } x - \frac { \pi } { 2 } \right)y=5sin(21​x−2π​)

Find the Specified Quantity $y = 5 \sin \left( \frac { 1 } { 2 } x - \frac { \pi } { 2 } \right)$