Find the amplitude and period of the function. Give the exact values, not decimal approximations. y=(1)/(2)sin((3)/(2)x)

Answer 1

Every sin/cos function is set up this way: y = Asin(Bx). Amplitude = abs(A). Period = 2pi/abs(B). Frequency = 1/Period.

Answer 2

For a general sine function:

f(x) = a·sin(b(x-c)) + d

1. a = amplitude = 1/2
2. b = angular frequency = 2π/period = 3/2
3. c = phase shift = 0
4. d = vertical shift = 0

So the amplitude = 1/2. To find period, 2π/period = 3/2. Solve for period.