SOLUTION: Prove that ((sin^3(theta) + cos^3(theta))/(sin(theta) + cos(theta))) + sin(theta)cos(theta) = 1

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Question 965538: Prove that ((sin^3(theta) + cos^3(theta))/(sin(theta) + cos(theta))) + sin(theta)cos(theta) = 1
Answer by t0hierry(194) About Me  (Show Source):
You can put this solution on YOUR website!
call sin y and cos x
x^3 + y^3 = (x^2 + y^2)*(x + y) - xy(x + y)
here x^2 + y^2 =1
so x^3 + y^3/(x+y) + yx = 1
I call sin(theta) = y
and cos(theta) = x
just to make equations look simpler.