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ICSE Class 10 Answered

prove that (sina-cosa+1)/(sina+cosa-1)=1/(seca-tana)
Asked by subhasray1968 | 17 Feb, 2018, 12:10: AM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator sinA minus cosA plus 1 over denominator sinA plus cosA minus 1 end fraction equals fraction numerator sinA minus cosA plus 1 over denominator sinA plus cosA minus 1 end fraction cross times fraction numerator sinA minus cosA plus 1 over denominator sinA minus cosA plus 1 end fraction equals fraction numerator open parentheses sinA minus cosA plus 1 close parentheses squared over denominator sin squared straight A minus open parentheses 1 minus cosA close parentheses squared end fraction equals fraction numerator sin squared straight A plus 1 plus cos squared straight A minus 2 cosA plus 2 sinA left parenthesis 1 minus cosA right parenthesis over denominator sin squared straight A minus left parenthesis 1 plus cos squared straight A minus 2 cosA right parenthesis end fraction equals fraction numerator 1 plus 1 minus 2 cosA plus 2 sinA left parenthesis 1 minus cosA right parenthesis over denominator sin squared straight A minus 1 minus cos squared straight A plus 2 cosA end fraction Using space sin squared straight A plus cos squared straight A equals 1 space and space simplifying space you space will space get fraction numerator cosA over denominator 1 minus sinA end fraction end style
Answered by Sneha shidid | 17 Feb, 2018, 11:24: AM

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ICSE 10 - Maths
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