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ICSE Class 10 Answered

Prove Tan2A/(tan2A-1)   +   cosec2A/(sec2A-cosec2A)=1/(sin2A-cos2A)  
Asked by Sunita | 05 Apr, 2018, 03:59: PM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator tan squared straight A over denominator tan squared straight A minus 1 end fraction plus fraction numerator cos begin display style begin display style ec end style squared end style begin display style straight A end style over denominator sec squared straight A minus cosec squared straight A end fraction
bring space in space sin space cos
equals fraction numerator begin display style fraction numerator begin display style sin squared straight A end style over denominator cos squared straight A end fraction end style over denominator begin display style fraction numerator begin display style sin squared straight A end style over denominator cos squared straight A end fraction minus 1 end style end fraction plus fraction numerator begin display style fraction numerator 1 over denominator sin squared straight A end fraction end style over denominator fraction numerator begin display style 1 end style over denominator cos squared straight A end fraction minus fraction numerator 1 over denominator sin squared straight A end fraction end fraction
equals fraction numerator begin display style fraction numerator begin display style sin squared straight A end style over denominator cos squared straight A end fraction end style over denominator begin display style fraction numerator sin squared straight A minus cos squared straight A over denominator cos squared straight A end fraction end style end fraction plus fraction numerator begin display style fraction numerator 1 over denominator sin squared straight A end fraction end style over denominator fraction numerator sin squared straight A minus cos squared straight A over denominator begin display style begin display style sin end style squared end style begin display style straight A end style cos squared straight A end fraction end fraction
equals fraction numerator sin squared straight A over denominator sin squared straight A minus cos squared straight A end fraction plus fraction numerator cos squared straight A over denominator sin squared straight A minus cos squared straight A end fraction
equals fraction numerator begin display style 1 end style over denominator begin display style sin squared straight A minus cos squared straight A end style end fraction end style
Answered by Arun | 05 Apr, 2018, 05:26: PM
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