Question

How do I find the B value in a sine function when I know the period? The period is 15 and I need to find the B value.

Answer 1

b =
`(2\pi )/(15)`

Explanation:

The standard form of the sine is

y = asin(bx + c) + d

where | a | is the amplitude, period =
`(2\pi )/(b)`

c is the phase shift and d the vertical shift

Here period = 15, thus

`(2\pi )/(b)` = 15 ( multiply both sides by b )

15b = 2π ( divide both sides by 15 )

b =
`(2\pi )/(15)`