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

Answer:

b = $\frac{2\pi }{15}$

Step-by-step explanation:

The standard form of the sine is

y = asin(bx + c) + d

where | a | is the amplitude, period = $\frac{2\pi }{b}$

c is the phase shift and d the vertical shift

Here period = 15, thus

$\frac{2\pi }{b}$ = 15 ( multiply both sides by b )

15b = 2π ( divide both sides by 15 )

b = $\frac{2\pi }{15}$