Solving a Math Problem: Overcoming a Mental Lapse

Thread starter derekmohammed
Start date Jan 7, 2005

AI Thread Summary

The discussion revolves around a user experiencing a mental block while trying to rewrite the formula 3(cos^2(x)sin^2(x)) in terms of the identity sin(2x) = 2sin(x)cos(x). The user seeks assistance in transforming the expression correctly. A helpful note is provided, indicating that cos^2(x)sin^2(x) can be expressed as (cos(x)sin(x))^2, which can be manipulated further. The conversation emphasizes the importance of understanding trigonometric identities for solving such problems. Overall, the thread highlights collaborative problem-solving in mathematics.

Jan 7, 2005

derekmohammed

Hi

I am having a little bit of a mental lapse right now :cry:

:zzz: and I was wondering if someone could help me out.

I want to write the formula as

3(cos^2(x)sin^2(x)) to the identity sin2x = 2sinxcosx

Thanks ALOT!

Last edited: Jan 7, 2005

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Jan 7, 2005

arildno

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Note that:
\cos^{2}x\sin^{2}x=(\cos{x}\sin{x})^{2}=(\frac{2\cos{x}\sin{x}}{2})^{2}

Jan 7, 2005

derekmohammed

Thanks arildno...

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