Answer:
The period of the function [tex]y = 2sinx[/tex] is [tex]2\pi[/tex]
Step-by-step explanation:
The sinosuidal functions have the following form
[tex]y = Asin (bx) +k[/tex]
Where A is the amplitude of the function
k is the vertical displacement
[tex]\frac{2\pi}{b}[/tex] is the period.
In this case we have the function
[tex]y = 2sinx[/tex]
Therefore the amplitude A = 2
The vertical displacement is k = 0
The period is [tex]\frac{2\pi}{1} = 2\pi[/tex] because b=1
Therefore the function completes a cycle every [tex]2\pi[/tex]
