Question

(sin 0 + cos 0)2 = 1 + sin(20)​

Answer 1

See the proof of this below.

Explanation:

(sin 0 + cos 0)2

= sin^2 O + cos^2 O + 2sinO cosO

= 1 + 2 sinO cosO

But 2 sinO cosO = sin 2O

so (sin O + cos O)^2 = 1 + sin 2O.