Question

prove (sinA/2+cosA/2)^2= 1+sinA​

Answer 1

Answer:

Step-by-step explanation:

To prove

(SinA/2 + CosA/2)^2= Sin(2A) + 1

LHS = (sinA + cosA /2)^2

= sin^2A + 2sinAcosA +cos^2A/4

= 1 + 2sinAcosA/4

Since sin^2A + cos^2 A = 1

= 1 + sin(2A)/4

Since sin(A + A)=sinAcosA+cosAsinA

= 1+ sinA