Which of the following expressions does not represent a simple hormonic motion ?

Options

A. `x=A "tan" (omega t+ phi)`
B. `x= A "sin" (omega t+ delta)`
C. `x=A "sin" omega t "cos" omega t`
D. `x=B "cos" (omega t + phi)`

Answer

A

Explanation

`x=A "tan" (omega t + phi)` does not represent a S.H.M. It is not a harmonic function. (b) and (d) are s"tan"dard equation of a S.H.M. and `A "sin" omega t "cos" omega t =(A)/(2) "sin" 2omega t` also represent a S.H.M.