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CBSE Class 10 Answered

Prove that  (1 + cot A  + tan A) (sin A - cos A) = sin A tan A - cot A cos A
Asked by gpnkumar0 | 28 Jan, 2018, 08:08: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight L. straight H. straight S.
equals left parenthesis 1 plus cotA plus tanA right parenthesis left parenthesis sinA minus cosA right parenthesis
equals sinA minus cosA plus cotAsinA minus cotAcosA plus tanAsinA minus tanAcosA
equals sinA minus cosA plus cosA over sinA cross times sinA minus cotAcosA plus tanAsinA minus sinA over cosA cross times cosA
equals sinA minus cosA plus cosA minus cotAcosA plus tanAsinA minus sinA
equals sinAtanA minus cotAcosA
equals straight R. straight H. straight S. end style
Answered by Rashmi Khot | 29 Jan, 2018, 09:35: AM

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