The number of harmonic components in the oscillations are represented by, `y=4cos^(2)(2 tsin4t)`. What are their corresponding angular frequencies?

Explanation

`y=4cos^(2)tsin4t`
`=2(cos4t+1)sin4t`
`[ :' 2cos^(2)theta=cos2theta+1]`
`=2sin4tcos4t+sin4t`
`=sin8t+2sin4t`
`[:'sin2theta=2sinthetacostheta]`
`=2sin4t+sin8t`
Thus the resulting harmonic oscillation is a combinatino of two harmonic motions of angular frequencies 4rad`//` and 8rad`//`s.