## anonymous 3 years ago find the laplace transform of sin2tcos2t?

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1. ksaimouli

u mean derivative

2. anonymous

no it is the laplace transform.

3. anonymous

master level math

4. anonymous

university

5. AccessDenied

I am not particularly familiar with Laplace Transforms, but I am curious if it would be helpful to simplify sin(2t)cos(2t) using a trig identity: $$\sin(2x) = 2 \sin x \cos x$$ $$\sin 2t \cos 2t = \frac{1}{2}\left( 2 \sin 2t \cos 2t \right) = \frac{1}{2} \sin (4t)$$ At least, it tends to be easier to play with a single sine than a product of two trig functions. :)

6. anonymous

So , 1/2 w/s^2 +w^2 where w = 4 -> 2/(s^2+16)