Question

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

Answer 1

sine oscillates between 1 and 0; its amplitude is 1

to get an amplitude of 3, the sine must be multiplied with A=3

Answer 2

general equation of sine function is
\(f(x)=A\sin (2\pi x/T+\phi)\)

where A = amplitude
T = period
\(\phi\) - phase shift

Answer 3

here, A and T are given, just plug in values!
assume phase shift =0

Answer 4

thanks guys

Answer 5

welcome ^_^