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ICSE Class 10 Answered

prove that: (sin A - cos A +1)/ ( sin A + cosA -1)= ( 1+ sin A )/ cosA
Asked by bdroy_2014 | 07 Feb, 2018, 09:51: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight L. straight H. straight S. equals fraction numerator left parenthesis sinA minus cosA plus 1 right parenthesis over denominator left parenthesis sinA plus cosA minus 1 right parenthesis end fraction equals fraction numerator begin display style left parenthesis sinA minus cosA plus 1 right parenthesis end style over denominator begin display style left parenthesis sinA plus cosA minus 1 right parenthesis end style end fraction cross times fraction numerator 1 plus sinA over denominator 1 plus sinA end fraction equals fraction numerator left parenthesis sinA minus cosA plus 1 right parenthesis begin display style cross times end style begin display style left parenthesis end style begin display style 1 end style begin display style plus end style begin display style sinA end style begin display style right parenthesis end style over denominator sin begin display style straight A end style begin display style plus end style begin display style cosA end style begin display style minus end style begin display style 1 end style begin display style plus end style begin display style begin display style sin end style squared end style begin display style straight A end style begin display style plus end style begin display style sinAcosA end style begin display style minus end style begin display style sinA end style end fraction equals fraction numerator begin display style left parenthesis sinA minus cosA plus 1 right parenthesis cross times left parenthesis 1 plus sinA right parenthesis end style over denominator begin display style negative 1 plus cosA plus left parenthesis 1 minus cos squared straight A right parenthesis plus sinAcosA end style end fraction equals fraction numerator begin display style left parenthesis sinA minus cosA plus 1 right parenthesis cross times left parenthesis 1 plus sinA right parenthesis end style over denominator begin display style negative 1 plus cosA plus 1 minus cos squared straight A plus sinAcosA end style end fraction equals fraction numerator begin display style left parenthesis sinA minus cosA plus 1 right parenthesis cross times left parenthesis 1 plus sinA right parenthesis end style over denominator begin display style cosA minus cos squared straight A plus sinAcosA end style end fraction equals fraction numerator begin display style left parenthesis sinA minus cosA plus 1 right parenthesis cross times left parenthesis 1 plus sinA right parenthesis end style over denominator begin display style cosA left parenthesis 1 minus cosA plus sinA right parenthesis end style end fraction equals fraction numerator 1 plus sinA over denominator cos begin display style straight A end style end fraction equals straight R. straight H. straight S. end style
Answered by Rashmi Khot | 08 Feb, 2018, 08:46: AM

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