Question

SinA+cosA=√2 then sinA×cosA

Answer 1

Answer:

1/2

Step-by-step explanation:

 Given  sinA+cosA=$\sqrt{2}$

            Square on both sides

            $(sinA+cosA)^{2}$=$\sqrt{2} ^{2}$

            $sin^{2} A$+$cos^{2}A$+2sinAcosA=2

            sinAcosA=1/2