SOLUTION: Please help me with the following question. Prove this identity: (1-cos^2x)(1+cos^2x) = 2sin^2x - sin^4x

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Question 1058611: Please help me with the following question.
Prove this identity:
(1-cos^2x)(1+cos^2x) = 2sin^2x - sin^4x
Found 3 solutions by Alan3354, josgarithmetic, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
(1-cos^2x)(1+cos^2x) = 2sin^2x - sin^4x
sin^2*(1+cos^2x) = 2sin^2x - sin^4x
1+cos^2x = 2 - sin^2x
cos^2(x) = 1 - sin^2(x) QED
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
(1-cos^2x)(1+cos^2x) = 2sin^2x - sin^4x
AMP Parsing Error of [(1-cos^2x)(1+cos^2x) = 2sin^2x - sin^4x]: Invalid function '\x)(1+cos^2\x)=2\sin^2\x-sin^4\x': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .



RHS,




------------Identical to LHS
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Please help me with the following question.
Prove this identity:
(1-cos^2x)(1+cos^2x) = 2sin^2x - sin^4x
LHS:

 --- Replacing  



 ------- DISTRIBUTING (Same as RHS) 

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