Math, asked by rohith3630, 1 year ago

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

Answers

Answered by gangwarakash999
3

  =  >  \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 <  <  =
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