SOLUTION: verify idenity (cos^4x – sin^4x)/(cosx + sinx) = cos x – sin x

Algebra.Com
Question 433311: verify idenity
(cos^4x – sin^4x)/(cosx + sinx) = cos x – sin x

Answer by belle3833(46)   (Show Source): You can put this solution on YOUR website!

using difference of 2 squares
=
using difference of 2 squares again
=
cancelling out:
=
(identity)
so
=cosx-sinx
hope this helps

RELATED QUESTIONS

Prove the identity:... (answered by Alan3354)
Verify that the following is an identity? (sin^4x-cos^4x) / (sin^3x+cos^3x) =... (answered by lwsshak3)
verify idenity csc x = (sin x)/2(1 + cosx) + (sin x)/2(1-cosx) (answered by katealdridge)
sinx + cosx - sinxcosx = sin^2 x + cos^2... (answered by Nate)
simplify: SIN^2 x - COS^2 x/SINX +... (answered by lwsshak3)
Verify the identity: {{{Sin(x)(1-2*Cos^2x+ Cos^4x) =... (answered by Edwin McCravy)
Verify The Equation is an Identity cosx*cos(-x)-sinx*sin(-x)=1 how do I do... (answered by lwsshak3)
Prove... (answered by Gogonati)
Please Verify ASAP:... (answered by josgarithmetic)