ICSE Class 10 Answered
prove that
(sina-cosa+1)/(sina+cosa-1)=1/(seca-tana)
Asked by subhasray1968 | 17 Feb, 2018, 00:10: AM
![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](https://images.topperlearning.com/topper/tinymce/cache/fd96f872cba046f0889ee264da6baa81.png)
Answered by Sneha shidid | 17 Feb, 2018, 11:24: AM
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