Question

please help me to solve this problem ​

Answer 1

Answer :

A= 45° , B = 15°

Explanation:

tan(A+B) = √3

=> tan(A+B) = tan60°

A+B = 60° ----( 1 )

tan(A-B) =1/√3

=> tan(A-B) = tan30°

=> A-B = 30° ----( 2 )

Add (1) and (2) , we get

2A =90°

=> A =90/2

=> A = 45°

put A = 45° in equation (1),we

get

45° + B = 60°

=> B = 60° - 45°

=> B = 15°

Therefore,

A = 45° , B = 15°

••••

Answer 2

tan(A+B)=√3

A+B =60°. -------------(1)

tan(A-B)=1/√3

A-B =30°. --------------(2)

Solving 1 and 2 equation by elimination -

A+B =60°

A-B =30°

_________

2A =90°
A =45°

Put the value of A in 1 equation -

A +B =60°

45° +B =60°

B =15°