Consider the function $$y = 6 + \sin 5 x$$ . Specify the period.
A) $$- \frac { 2 } { 5 } \pi$$
B) $$\frac { 1 } { 6 } \pi$$
C) $$\frac { 1 } { 5 } \pi$$
D) $$\frac { 1 } { 5 }$$
E) $$\frac { 2 } { 5 } \pi$$

Question

Quizplus · Accepted Answer

The period of the function $y=\sin ax$ is $\frac{2\pi}{a}$. So, in the given function, $y=6+\sin 5x$, the coefficient of $x$ is $5$, so its period is $\frac{2\pi}{5}=\frac{2}{5}\pi$. Therefore, the best choice is E).

Consider the Function y=6+sin⁡5xy = 6 + \sin 5 xy=6+sin5x Specify the Period

Consider the Function $y = 6 + \sin 5 x$ Specify the Period