Question

The period of y=-3cos x/8 is

Answer 1

Period:

In Degrees = 2880°

In Radians = 16π

Explanation:

This is a sinusoidal curve of the form:

`y=aCos(bx)`

Where

a = -3

b = 1/8

The period of a sinusoid is the length of 1 cycle of the curve. The formula to find the period is:

Period =
`(360)/(b)` or
`(2\pi)/(b)` (in radians)

Let's calculate the period:

`(360)/((1)/(8))=2880`

In radians, that would be:

`(2\pi)/((1)/(8))=16\pi`