Question

If tan (A+B) =✓3 and tan(A-B)= 1/✓3 (0°< A+B≤90°) find A and B​

Answer 1

Step-by-step explanation:

A is 45 degrees and B is 15 degrees

Answer 2

Answer:

Given ,

tan(A + B) = √3

tan ( A +B) = 60° .....(i) [ W.K.T tan 60° = √3]

tan(A - B) = 1/√3

tan ( A - B). = 30° ..(ii) [ W.K.T tan30° = 1/√3]

Now,

On subtracting equation (ii) from (i) , we get ;

A + B = 60°

A - B = 30°

(-) (+) = (-)

2B = 30°

B = 30°/2

B = 15°

On putting B = 15° in eq. (i) , we get;

A+B = 60°

A + 15° = 60°

A = 60° - 15°

A = 45°

Hence, A = 45° & B = 15°

Hope it's help （＾ｖ＾）