Question

. If in ΔABC, ∠C = 90°, then sin (A + B) =​

Answer 1

Given :-

• in triangle abc, angle c=90°

To Find :-  

• sin(a+b) ​

Solution:-

In any triangle sum of all angles of triangle is 180°

Hence ∠a + ∠b + ∠c  = 180°

∠c = 90°   given

⇒∠a + ∠b + 90° = 180°

⇒∠a + ∠b = 90°

⇒ sin(a+b) ​ = Sin 90°    

⇒ sin(a+b) ​  = 1