Sound WavesHard

Question

Which of the following fuctions represects a simple harmonic oscillation ?

Options

A.sinÏ‰t - cosÏ‰t

B.sin²Ï‰t

C.sin² Ï‰t + cos 2 Ï‰t

D.sin² Ï‰t - cos 2 Ï‰t

Solution

sin Ï‰t - cos Ï‰t = âˆš2

= âˆš2 sin (Ï‰t - Ï€/4)
which represents simple harmonic motion.

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