SOLUTION: Simplify the trig expression: sin^4(x)-cos^4(x)+cos^2(x)

SOLUTION: Simplify the trig expression: sin^4(x)-cos^4(x)+cos^2(x)

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Question 1036074: Simplify the trig expression: sin^4(x)-cos^4(x)+cos^2(x)
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Okay, from
sin^4(x)-cos^4(x)+cos^2(x) =
(sin^2(x)+cos^2(x))(sin^2(x)-cos^2(x))+cos^2(x)=
(1)(sin^2(x)-cos^2(x))+cos^2(x) =
sin^2(x)
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