Question

What is the period of the function y = 2 sinx

Answer 1

The period is 360° ( in radians, the period is 2π)

Explanation:

For a sine/cosine (sinusoidal) function in the form

y = ASin(Bx-C) + D, we can say

A is the amplitude

360/B is the period

C is the phase shift

D is the vertical translation

The function given is y = 2Sinx

To find the period, we need 360/B. Since "B" is just "1", the period is

360/1 = 360

Answer 2

The period of the function
`y = 2sinx` is
`2\pi`

Explanation:

The sinosuidal functions have the following form

`y = Asin (bx) +k`

Where A is the amplitude of the function

k is the vertical displacement

`(2\pi)/(b)` is the period.

In this case we have the function

`y = 2sinx`

Therefore the amplitude A = 2

The vertical displacement is k = 0

The period is
`(2\pi)/(1) = 2\pi` because b=1

Therefore the function completes a cycle every
`2\pi`