SOLUTION: Question: Simplify the following a) (sin(x)cos(x))^2 - sin2(x) Thanks greatly!

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Question 440612: Question: Simplify the following
a) (sin(x)cos(x))^2 - sin2(x)





Thanks greatly!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(sin(x)cos(x))^2 - sin^2(x)
--------
sin^2*cos^2 - sin^2
------
Factor:
sin^2[cos^2-1]
----
= sin^2[-sin^2]
---
= -sin^4(x)
===================
Cheers,
Stan H.