Question

If Tan (A - B) = 1/root 3
and Cos A = 1/2 , where
A, B are acute angles. Then find the measure of angle B.​

Answer 1

Answer:

A=60, B=30

Step-by-step explanation:

given

tan(A-B) =1/√3

tan(A-B) =tan 30

(A-B) =30 [let this be equation 1]

cosA=1/2

cosA=cos60

A=60 [let this be equation 2]

substitute A=60 in equation 1

60-B=30

-B=30-60

-B=-30

B=30

Hence A=60,B=30

hope this solution helps u