Question

find the period of sinx/4​

Answer 1

Answer:

If Time Period of sin x is T (which is 2π)

Then Time Period of sin kx is T/k

Therefore here k=1/4. Time period is 4 Times time period of sin x.

That is 8π.

Step-by-step explanation:

Answer 2

The period of sin(x/4) is 8π​.

Step-by-step explanation:

The given function is

$y=\sin(\frac{x}{4})$     .... (1)

The general form of sine function is

$y=a\sin(bx+c)+d$       ... (2)

where, a is amplitude, $\frac{2\pi}{b}$ is period, c/b is phase shift and d is midline.

On comparing (1) and (2) we get

$b=\frac{1}{4}$

Period of the function is

$Period=\frac{2\pi}{b}$

Substitute b=1/4 .

$Period=\frac{2\pi}{\frac{1}{4}}=8\pi$

Therefore, the period of sin(x/4) is 8π​.

#Learn more

Period of trigonometric function: https://brainly.in/question/10029436