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(B) Given the displacement equation: $y = 4 \cos^2(t/2) \sin(1000t)$Using the trigonometric identity $2 \cos^2 	heta = 1 + \cos(2	heta)$,we can rewr

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three waves

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(B) Given the displacement equation: $y = 4 \cos^2(t/2) \sin(1000t)$Using the trigonometric identity $2 \cos^2 	heta = 1 + \cos(2	heta)$,we can rewrite the expression as:$y = 2 [2 \cos^2(t/2)] \sin(1000t)$$y = 2(1 + \cos t) \sin(1000t)$$y = 2 \sin(1000t) + 2 \sin(1000t) \cos t$Using the product-to-sum identity $2 \sin A \cos B = \sin(A+B) + \sin(A-B)$,we get:$y = 2 \sin(1000t) + \sin(1000t + t) + \sin(1000t - t)$$y = 2 \sin(1000t) + \sin(1001t) + \sin(999t)$Thus,the given expression represents the superposition of three waves.

The displacement of a particle executing periodic motion is given by :
$y = 4 \cos^2(t/2) \sin(1000t)$
This expression may be considered to be a result of the superposition of

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The displacement of a particle executing periodic motion is given by :$y = 4 \cos^2(t/2) \sin(1000t)$This expression may be considered to be a result of the superposition of