Give the sine function with the following amplitude and period: a) amplitude 4, period `2*pi` b) amplitude 2, period `pi/4` c) amplitude 3 , period `5*pi`

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justaguide eNotes educator| Certified Educator

The general sine function is `y = A*sin(p*x)` which has a period of `(2*pi)/p` and the amplitude is A.

For an amplitude of 4 and period `2*pi` , the function is `y = 4*sin(x)`

For an amplitude 2 and period `pi/4` , the function is `y = 2*sin(8*x)`

For an amplitude 3 and period `5*pi` , the function is `y = 3*sin(x/2.5)`

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