Function `x=Asin^(2)omegat+Bcos^(2)omegat+Csinomegat cos omegat` represents simple harmonic motion,

Options

A. for any value of `A,B` and `C` (except `C = 0`)
B. If `A = -B,C = 2B`, amplitude `= |Bsqrt(2)|`
C. If `A = B : C = 0`
D. If `A = 6 : C = 2B`, amplitude `= |B|`

Answer

A, B, D

Explanation

`x = A((1 - cos2omegat))/(2) + B ((1 + cos2omegat))/(2) + (C)/(2) sin 2omegat`
Choose different combination of `A, B` & `C` to get linear combination of `sin` & `cos` functions.