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If tanx =12/13 , Evaluate (2 sinx cosx )/ (cos^2x - sin^2x)

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Solution: We have ,

$\ (2sinx cosx)/ ( cos^2x - sin^2x)\ \Rightarrow (2sinx cosx /cos^2x)/(cos^2x-sin^2x)/cos^2x \ \Rightarrow (2tanx)/(1-tan^2x)\ \Rightarrow (2 imes 12/13) /(1-(12/13)^2)=(24/13)/(25/169)=312/25$

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Deependra Verma

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