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

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





Thanks greatly!

Answer by stanbon(75887)   (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.

RELATED QUESTIONS

simplify the following to a single trigonometry term 1. cos 10 . cos 340 - sin 190 .... (answered by MaxWong)
Question: simplify the following a) (sin(x)cot(x)+cos(x))/sin(x) The... (answered by stanbon)
Hei! simplify: {{{... (answered by lwsshak3)
sin2(x)+sin(x)=0 (answered by Fombitz)
Simplify the following: sin (90° + x) sin (180° + x) + cos (90° + x) cos (180° –... (answered by robertb)
Find all solutions of each equation on the interval (0,2pi) Sin2 x = cos x (hint :... (answered by lwsshak3)
Please help me answer this question: Prove the following identity: sec^2x-2secxcosx (answered by Alan3354)
Verify the following identity by using an angle sum identity: cos (2x) = 1 – 2(sin2 x). (answered by Theo)
Verify the following identity by using an angle sum identity: cos (2x) = 1 - 2(sin2... (answered by ikleyn)