Question

tan (A-B)= 1/ROOT 3 and tan (+B=root 3 find the value of AandB

Answer 1

Given that,

$\tan(a - b) = \frac{1}{ \sqrt{3} }$

Then,

$\tan(a + b) = \sqrt{3}$

So,

$a- b = 30$

$a + b = 60$

On adding them,

$a = 45$

Therefore,

$b = 15$

If they are in 3rd quadrant then,

a=270+45 and b=270+15