Question

Write an equation of the sine function with amplitude=3 and period=2pi

Answer 1

Ok the format of a sin function equation is

\[Asin(Bx-C)\]

where A is the amplitude, B is the period, and C is a shift. You did not give a shift so ignore C. Your A would be 3 and B is found by doing the period of sin itself divided by the period given to you so in your case you have 2pi/2pi which is 1 so B=1. Your sin function looks like this then

\[2\sin(1x)\]