Question

Tan theta = 1 and sin alpha =1/root 2 , find the value of cos( theta +alpha) , if theta and alpha are both acute

Answer 1

Answer:

Step-by-step explanation:

tan(theta)=1

tan45°=1

Therefore, theta=45°

sin(alpha)=1/√2

sin45°=1/√2

Therefore, alpha=45°

cos(theta+alpha)=cos(45+45)

=cos90°=0

cos(theta+alpha)=0