Asked by Anonymous
prove that (sin^4x-cos^4x)/(sinx-cosx) = sinx+cosx
Answers
Answered by
MathMate
(sin^4x-cos^4x)/(sinx-cosx)
=(sin^2x+cos^2x)(sin^2x-cos^2x)/(sinx-cosx)
=1*(sinx+cosx)(sinx-cosx)/(sinx-cosx)
=sinx+cosx
=(sin^2x+cos^2x)(sin^2x-cos^2x)/(sinx-cosx)
=1*(sinx+cosx)(sinx-cosx)/(sinx-cosx)
=sinx+cosx
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