If tan A=1 and sin B =1/root2,find the value of cos(A+B),if A and B are acute angles - Maths - Introduction to Trigonometry

Question

If tan A=1 and sin B =1/root2,find the value of cos(A+B),if A and B
are acute angles

Priyanka Kedia · Accepted Answer

Given, tanA=1⇒tanA=tan 450⇒A=450And,sinB=12⇒sinB=sin 450⇒B=450Thus,cosA+B=cos450+450                  =cos900                  =0⇒cosA+B=0