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Question:

What is meant by sinusoidal in function

Answer:

A sinusoidal function for a wave is a marhematical derivation for a curve that describes a smooth repetitive oscillation.

A sine wave has a basic function representing it as -

$y(t) = Asin(2 pi f t + varphi) = Asin(omega t + varphi)$

A = the amplitude, the peak deviation of the function from zero.

f = the ordinary frequency, the number of oscillations (cycles) that occur each second of time.

ω = 2πf, the angular frequency the rate of change of the function argument in units of radians per second

$varphi$ = the phase, specifies (in radians) where in its cycle the oscillation is at t = 0.