Option C , pi/2 is the period of the sine function y = sin (4x)
What is Amplitude ?
The amplitude of a periodic variable is a measure of its change in a single period.
The amplitude of a non-periodic signal is its magnitude compared with a reference value.
sin4x=sin(4x+4h)
sin(θ+2π)=sinθ , we have 4h=2π , h=π/2
or it can be also understood as
The amplitude and period of y = a sin (bx + c ) are a and 2π/b
Here, a = 1 and b = 4.
This sine wave oscillates between the crests at y = 1 and the lowest points at y= -1 periodically, with period π/2 for one full wave.
period of sin(4x) is (1/4)x(period of sin(x))
= (1/4)x(2pi)
= (pi/2) .
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