Math, asked by 123arvind, 1 year ago

tan(45+a)-tan(45-a) =2tan2a

Answers

Answered by rajeev89
9
here is your answer dude
my letters are quite small so take magnify glass
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Answered by brainlygenius23
8
\underline{\underline{\mathfrak{\Large{Solution : }}}}\\ \\ \sf\implies\dfrac {1 + tanA}{1 - tanA} - \dfrac {1 - tanA}{1 + tanA} \\ \\ \sf\implies\dfrac {(1 + tanA)^2 - (1 - tanA)^2}{(1 - tanA)(1 + tanA)}\\ \\ \sf\implies\dfrac {1 + tan^{2}A + 2tanA - 1 - tan^{2}A + 2tanA}{ 1 - tan^{2}A}\\ \\ \sf\implies\dfrac {4tanA}{1 - tan^{2}A} \\ \\ \sf\implies\dfrac {2 (2tanA)}{1 - tan^{2}A} \\ \\ \sf\implies\dfrac {2 (tanA + tanA)}{1 - tanA tanA} \\ \\ \sf\implies\: 2 tan2A
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