Answer:
b = [tex]\frac{2\pi }{15}[/tex]
Step-by-step explanation:
The standard form of the sine is
y = asin(bx + c) + d
where | a | is the amplitude, period = [tex]\frac{2\pi }{b}[/tex]
c is the phase shift and d the vertical shift
Here period = 15, thus
[tex]\frac{2\pi }{b}[/tex] = 15 ( multiply both sides by b )
15b = 2π ( divide both sides by 15 )
b = [tex]\frac{2\pi }{15}[/tex]
