Question

If tan (A+B)=b. And tan(A-B) =q than prove that 2A = p+q/1-pq. The fastest will be marked as brainliest

Answer 1

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$
Substituting the above values in this identity...
$\tan(a + b + a - b) = \frac{ \tan(a + b) + \tan(a - b) }{1 - \tan(a + b) \tan(a - b) }$
Substituting p and q...
$\tan(2a) = \frac{p + q}{1 - pq}$