Respuesta :

the period is 7 because period = 2pi/b for asin(b(x-h))+k, so period is 2pi/(2pi/7) = 7

Answer:

Step-by-step explanation:

Alright, lets get started.

The given equation of sin function is : [tex]y=-2sin(\frac{2\pi }{7}x )[/tex]

The standard form of sin equation is : [tex]asin(bx+c)[/tex]

Comparing with standard one, a is -2

b is [tex]\frac{2\pi }{7}[/tex]

The period = [tex]\frac{2\pi}{b}[/tex]

Plugging the value of b then,

Period = [tex]\frac{2\pi}{\frac{2\pi}{7} } =7[/tex]

As 2π will be cancelled, the period will be 7.  :   Answer

Hope it will help :)