Question

If tan =1/root 3 and tan B=root 3 then find sin A .cos B+ cos A .sinB

Answer 1

tanA=tan30(tan30=1/root 3)

tanB=tan60 (tan60=root 3)

from both d equations cut tan from both sides ,then we will get the values of A and B( i.e A=30 and B=60)

put values of A and B in sinA.cosB+cosA.sinB

#sin30.cos60+cos30.sin60 (sin30=1/root 2, cos60=1/root 2, cos A=root 3 /2 and sinB=root3/2)

#1/root2× 1/root 2+ root3/2×root 3/2

#1/4+3/4

#1+3/4

#4/4

# 1 ANS.....

Answer 2

Answer:

your answer attached in the photo