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- \operatorname { cot } A \quad 1 |
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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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