Question

If tan (A+B)=√3 and tan (A-B)=1/√3;0° <A+B <_ 90°;A>B,find A and B​

Answer 1

Answer:

A = 45 and B = 15

Step-by-step explanation:

tan ( A + B) = tan 60 or, A+B = 60 .....( 1 )

tan ( A - B) = tan 30 or, A-B = 30 .......( 2 )

(1) + (2) :

A + B + A - B = 60 + 30

or, 2A = 90

or, A = 45

from (1),

45 + B = 60

or, B = 60 - 45

= 15