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Prove that cos/(1-tan) + sin/(1-cot) = …

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Prove that cos/(1-tan) + sin/(1-cot) = sin + cos

Posted by Innovative Bureau 6 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Chandrakant Mane 6 years, 1 month ago

Next Gurukul Learner's Section WikiK-12 Wiki AssessmentAssessments ForumQ&A Forum Educator's Section MOOCMOOCs Join Experts PanelJoin Experts Panel Next WorldThe Next World Academic Questions & Answers Forum Vijay Sep 7, 2014 Prove that cos A / (1 - tan A) + sin A /(1 - cot A) = sin A + cos A Prove that cos A / (1 - tan A) + sin A /(1 - cot A) = sin A + cos A question_answer Answers(1) person Chandrakant Mane Member since Apr 1, 2014 Sol: cos A / (1 - tan A) + sin A /(1 - cot A) = sin A + cos A LHS = cos A / (1 - tan A) + sin A /(1 - cot A) = cos2 A / (cos A - sin A) + sin2 A / (sin A - cos A) = cos2 A / (cos A - sin A) - sin2 A / (cos A - sin A) = (cos2 A - sin2 A) / (cos A - sin A) = (cos A + sin A) (cos A - sin A) / (cos A - sin A) . = (cos A + sin A). Hence proved.

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