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CBSE Class 10 Answered

I need the solution of the doubt given below
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Asked by jayadevi9757 | 27 Jun, 2020, 10:56: AM
answered-by-expert Expert Answer
TO prove that: 1/(cosA+sinA-1) + 1/(ccosA+sinA+1) = cosecA + secA
fraction numerator 1 over denominator cosA plus sinA minus 1 end fraction plus fraction numerator 1 over denominator cosA plus sinA plus 1 end fraction equals fraction numerator cosA plus sinA plus 1 plus cosA plus sinA minus 1 over denominator open parentheses cosA plus sinA close parentheses squared minus 1 end fraction equals fraction numerator 2 cosA plus 2 sinA over denominator cos squared straight A plus sin squared straight A plus 2 sinA space cosA space minus space 1 end fraction equals fraction numerator 2 left parenthesis cosA space plus space sinA right parenthesis over denominator 1 plus 2 sinA space cosA minus 1 end fraction equals fraction numerator 2 left parenthesis sinA space plus cosA right parenthesis over denominator 2 sinA space cosA end fraction equals fraction numerator sinA space plus space cosA over denominator sinA space cosA end fraction equals 1 over cosA plus 1 over sinA equals secA space plus space cosecA equals cosecA space plus thin space secA
Answered by Renu Varma | 28 Jun, 2020, 05:20: PM

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