Question

(sinA+cosA)(1-sinAcosA)=sin^3A+cos^3A



please prove this
with logic

Answer 1

Answer:

Step-by-step explanation:

Let sinA = a, cosA = b.

   We know, sin^2A + cos^2A = 1

                         a^2 + b^2 = 1

In question,

⇒ (a + b)(1 - ab)

⇒ (a + b)(a^2 + b^2 - ab)

⇒ a^3 + b^3        {(a+b)(a^2-ab+b^2) =a^3+b^3}

⇒ sin^3A + cos^3A

       Proved.

Answer 2

☞ ....see the attachment