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ICSE Class 10 Answered

How to solve sum iv) ??
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Asked by Shreyas | 29 Jun, 2018, 20:54: PM
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begin mathsize 16px style fraction numerator 1 plus tan squared straight A over denominator 1 plus cot squared straight A end fraction equals fraction numerator 1 plus begin display style fraction numerator sin squared straight A over denominator cos squared straight A end fraction end style over denominator 1 plus fraction numerator cos squared straight A over denominator sin squared straight A end fraction end fraction equals fraction numerator begin display style fraction numerator 1 over denominator cos squared straight A end fraction end style over denominator fraction numerator 1 over denominator sin squared straight A end fraction end fraction equals fraction numerator sin squared straight A over denominator cos squared straight A end fraction equals tan squared straight A LHS equals fraction numerator begin display style open parentheses 1 minus tan space straight A close parentheses squared end style over denominator open parentheses 1 minus cot space straight A close parentheses squared end fraction equals fraction numerator 1 minus 2 space tan space straight A plus tan squared straight A over denominator 1 minus 2 space cot space straight A plus cot squared straight A end fraction equals fraction numerator begin display style 1 minus 2 space tan space straight A plus tan squared straight A end style over denominator begin display style 1 minus 2 space cot space straight A plus cot squared straight A end style end fraction equals fraction numerator sec squared straight A minus 2 space tan space straight A over denominator cos begin display style begin display style ec end style squared end style begin display style straight A end style begin display style minus end style begin display style 2 end style begin display style space end style begin display style cot end style begin display style space end style begin display style straight A end style end fraction equals fraction numerator begin display style fraction numerator 1 over denominator begin display style cos squared end style begin display style straight A end style end fraction minus 2 fraction numerator sin begin display style space end style begin display style straight A end style over denominator cos begin display style space end style begin display style straight A end style end fraction end style over denominator fraction numerator 1 over denominator begin display style sin squared straight A end style end fraction minus 2 fraction numerator cos begin display style space end style begin display style straight A end style over denominator begin display style sin space straight A end style end fraction end fraction equals fraction numerator begin display style fraction numerator 1 minus 2 sinA space cosA over denominator cos squared straight A end fraction end style over denominator begin display style fraction numerator 1 minus 2 sinA space cosA over denominator sin squared straight A end fraction end style end fraction equals fraction numerator sin squared straight A over denominator cos squared straight A end fraction equals tan squared straight A end style
Answered by Arun | 02 Jul, 2018, 12:06: PM

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