Prove that:  (sin^3 A + cos^3 A) / ( cosA + sinA) = 1 - sinA cosA

Answer:


For solving this question we should remember two things!
First is: a^3 + b^3 = (a+b) (a^2 - ab + b^2)

And. Sin^2 A + cos^2 A = 1

After this it is too simple to show LHS is equal to the RHS.

Open the formula!
Use the identity!
Take common!
Cancel the equal expression from numerator and denominator.
Then you will get the LHS is equal to the RHS.

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