What is the amplitude of sine and cosine?
The amplitude of sine and cosine functions will be equal to the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.
The amplitude of the functions y=Asinθ and y=Acosθ is the absolute value of A. i.e, A
The motion of a particle executing simple harmonic motion is described by the displacement function,
x (t) = A cos (ωt + φ).
If the initial (t = 0) position of the particle is 1 cm and its initial velocity is ω cm/s, what are its amplitude and initial phase angle? The angular frequency of the particle is π s–1. If instead of the cosine function, we choose the sine function to describe the SHM: x = B sin (ωt + α), what are the amplitude and initial phase of the particle with the above initial conditions.
