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 :)