what is an equation for a sine curve with amplitude 2, and period 4pi radians?

Answer 1

The general equation for a sine curve is:

y = A sin(Bx + C)

where A is the amplitude, B is the coefficient of x, and C is the phase shift.

Given that the amplitude is 2 and the period is 4π, we can find the values of A, B, and C:

A = 2
Period = 2π/B = 4π
B = 2π/(4π) = 1/2

Therefore, the equation for the sine curve with amplitude 2 and period 4π radians is:

y = 2 sin(1/2x)