Question

If tan (A+B) = root 3 and tan (A-B)= T3 ; 0° B, find A and B.

Answer 1

Answer:

Step-by-step explanation:

1 ) tan ( A + B ) = √3

     tan ( A + B ) = tan 60°

     A + B = 60° -----( 1 )

2 ) tan ( A - B ) = 1

     tan ( A - B ) = tan 45°

A - B = 45° -----( 2 )

Add equation ( 1 ) and ( 2 ) , we get

2A = 105°

A = 52.5°

Put A = 52.5° in equation ( 1 ) ,

52.5 + B = 60

B = 60 - 52.5

B = 7.5°

I HOPE IT HELPS