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Q. Define Period, Amplitude and Phase Shift?
Ans.
Period, amplitude and phase shift are used when describing a sinusoidal curve
The period of a function is the smallest number p for which f( x + p) = f(x) for each x for which is defined.
The function sin(x) repeats every degrees, sin (x +) = sin(x). It is also clear by the graph that 2p is the smallest number for which this is true. The period of sin(x) is 2Π.
The amplitude of a sinusoidal wave is the distance from the central axis (the x-axis in this case) and the maximum or minimum value of the wave.
The phase shift of a curve is the shift, left or right, of the base curve.
Relationship between the inverse sine function and the sine function We have the given relationship among the inverse sine function and the sine function.
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