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ICSE Class 10 Answered

(cosec A -sinA) (sec A -cosA)=1/tanA cot A
Asked by priyankakumarisoni1608 | 08 Aug, 2021, 03:29: PM
Expert Answer
left parenthesis cosec space straight A space minus sinA right parenthesis space left parenthesis sec space straight A space minus cosA right parenthesis
equals open parentheses fraction numerator 1 over denominator sin space straight A end fraction space minus space sin space straight A close parentheses open parentheses fraction numerator 1 over denominator cos space straight A end fraction space minus cos space straight A close parentheses
equals open parentheses fraction numerator 1 space minus sin squared straight A over denominator sin space straight A end fraction space close parentheses open parentheses fraction numerator 1 minus cos squared straight A over denominator cos space straight A end fraction close parentheses

equals open parentheses fraction numerator cos squared straight A over denominator sin space straight A end fraction space close parentheses open parentheses fraction numerator sin squared straight A over denominator cos space straight A end fraction close parentheses
equals sinA space cosA

fraction numerator 1 over denominator tan space straight A cross times cot space straight A end fraction equals fraction numerator 1 over denominator fraction numerator sinA over denominator cos space straight A end fraction cross times fraction numerator cos space straight A over denominator sin space straight A end fraction end fraction equals fraction numerator sinA space cosA over denominator sinA space cosA end fraction

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