मान ज्ञात कीजिए -
` tan ( 2 tan ^( -1) "" ( 1 )/(5) - ( pi ) /(4) ) `

Explanation

`(2 tan ^( -1) "" (1 ) /(5) ) = tan ^( -1 ) "" ( 2 ( 1//5))/( 1 - (1//5) ^ 2 ) = tan ^( -1) "" ( 2//5)/( 24//25)= tan ^( -1) "" ( 5 ) /(12) `
` therefore tan ( 2 tan ^( -1) "" ( 1 ) /(5) - ( pi ) /(4) ) = tan ( tan ^( -1 ) "" ( 5 ) /(12) - tan ^( -1) 1 ) `
` = tan ( tan ^( -1) "" ((5 ) /(12) -1 )/ ( 1 + ( 5 ) /(12) . 1 ) ) `
` = tan ( tan ^( -1) "" ( -7 ) /(17) ) = ( - 7 ) /(17) `