Question

What is the period of the sinusoid given by y=-2 sin ( 2pi/7 x)

Answer 1

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

Answer 2

Answer:

Step-by-step explanation:

Alright, lets get started.

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

The standard form of sin equation is : $asin(bx+c)$

Comparing with standard one, a is -2

b is $\frac{2\pi }{7}$

The period = $\frac{2\pi}{b}$

Plugging the value of b then,

Period = $\frac{2\pi}{\frac{2\pi}{7} } =7$

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

Hope it will help :)