Question

I'm having trouble solving this proof. Can you help?

cos^3+sin^3/cosx+sinx = 1-sinxcosx

Thanks!:)

Answer 1

recall that a^3 + b^3 = (a+b)(a^2 - ab + b^2)

cos^3 + sin^3 = (cos+sin)(cos^2 - sin*cos + sin^2)

look easier now?