Question

IF A,B ARE SUPPLEMENTARY ANGLES THEN cos2a+sin2b=

Answer 1

Given A,B are supplementary angles

⟹A+B=180 ∘

⟹B=180 ∘ −Acos 2 A+sin 2

B=cos 2 A+sin 2

(180∘ −A?)=cos 2 A+sin 2 A

=1