Question

Tana/1-cota+cota/1-tana=1+seca.coseca

Answer 1

ANSWER:---------

Tan a/(1-cot a) +cot a/(1-tan a) 

=(sin a/,cos a) /(1-cos a/sin a) + (cos a/sin a) /(1-sin a/cos a) 

=sin ^2 a/cosa(sina - cosa) +cos^2 a/sina (cosa-sina) 

=sin^2a/cosa(sina-cosa) - cos^2a/sina (sina-cosa) 

=(sin^3a-cos^3a)/sina.cosa(sina-cosa)

=(sina-cosa)(sin^2a+cos^2a+sinacosa)/sina.cosa(sina-cosa)

=(1+sinacosa)/sina.cosa

=(1/sinacosa)+1

=1+seca.coseca

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