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ICSE Class 10 Answered

(sinA+secA)sq. +(cosA+cosecA)sq. =(1+secAcosecA)sq.
Asked by jaiswalsindhuli717 | 07 Nov, 2018, 10:23: AM
answered-by-expert Expert Answer
begin mathsize 16px style Consider comma fraction numerator 1 over denominator sin squared straight A end fraction space plus fraction numerator 1 over denominator cos squared straight A end fraction equals fraction numerator sin squared straight A plus cos squared straight A over denominator sin squared Acos squared straight A end fraction equals fraction numerator 1 over denominator sin squared Acos squared straight A end fraction Also comma sinA over cosA plus cosA over sinA equals fraction numerator sin squared straight A plus cos squared straight A over denominator sinAcosA end fraction equals 1 over sinAcosA open parentheses sinA plus secA close parentheses squared plus left parenthesis cosA plus cosecA right parenthesis squared equals sin squared straight A plus sec squared straight A plus 2 sinAsecA plus cos squared straight A plus cosec squared straight A plus 2 cosAcosecA equals sin squared straight A plus cos squared straight A plus sec squared straight A plus cosec squared straight A plus 2 sinAsecA plus 2 cosAcosecA equals 1 plus fraction numerator 1 over denominator cos squared straight A end fraction plus fraction numerator 1 over denominator sin squared straight A end fraction plus 2 open parentheses sinA over cosA plus cosA over sinA close parentheses equals 1 plus fraction numerator 1 over denominator sin squared Acos squared straight A end fraction plus 2 cross times 1 over sinAcosA equals 1 plus cosec squared Asec squared straight A plus 2 cosecAsecA equals left parenthesis 1 plus secAcosecA right parenthesis squared end style
Answered by Sneha shidid | 08 Nov, 2018, 01:46: PM

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