Question

Type the equation for the graph below

Answer 1

y = sin3x

Explanation:

the equation is of the form y = sinbx

the period of the sine wave is

period =
`(2\pi )/(b)` ( b is the coefficient of x )

here period =
`(\pi )/(3)` × 2 =
`(2\pi )/(3)` , then

`(2\pi )/(3)` =
`(2\pi )/(b)` ⇒ b = 3

y = sin3x ← equation of graph