Question

Tan(a+b) =m and tan (a-b)=n find the value of the Tan 2b

Answer 1

$= > \tan(a + b) = m \\ = > a + b = { \tan }^{ - 1}m..........(1) \\ = > tan(a - b) = n \\ = > a - b = {tan}^{ - 1} n...........(2) \\ = > by \: subtraction......(1) \: and \: ( 2) \\ = > a + b - a + b = {tan}^{ - 1} - {tan}^{ - 1} n \\ = > 2b = {tan}^{ - 1} m - {tan}^{ - 1} n \\ = > 2b = {tan}^{ - 1} ( \frac{m - n}{1 + mn} ) \\ = > \tan(2b) = (\frac{m - n}{1 + mn.} ) \\ = > > > hope \: \: it \: \: helps \: \: you < < < = \\ \\ = > > mark \ \: me \: \: as \: \: brainliest < < =$