Упростите (Sin x +Cos x)²+1-Sin 2x

Question

Упростите
(Sin x +Cos x)²+1-Sin 2x

Answer 1

(sinx + cosx)^2 + 1 - sin2x = 
= sin^2x + 2sinxcosx + cos^2x + 1 - sin2x = 
= sin^2x + sin2x + cos^2x + 1 - sin2x =
= 1 + sin2x + 1 - sin2x =  
= 1 + 1 = 
= 2