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ICSE Class 10 Answered

C part circled
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Asked by lovemaan5500 | 22 Feb, 2018, 06:25: AM
answered-by-expert Expert Answer
begin mathsize 16px style tan space straight A equals straight n space tan space straight B rightwards double arrow tan space straight B equals 1 over straight n tan space straight A rightwards double arrow cot space straight B equals fraction numerator straight n over denominator tan space straight A end fraction sin space straight A equals straight m space sin space straight B rightwards double arrow sin space straight B equals 1 over straight m sin space straight A rightwards double arrow cosec space straight B equals fraction numerator straight m over denominator sin space straight A end fraction Now comma space we space know space that space cosec squared space straight B minus cot squared space straight B equals 1 rightwards double arrow open parentheses fraction numerator straight m over denominator sin space straight A end fraction close parentheses squared minus open parentheses fraction numerator straight n over denominator tan space straight A end fraction close parentheses squared equals 1 rightwards double arrow fraction numerator straight m squared over denominator sin squared straight A end fraction minus fraction numerator straight n squared space cos squared straight A over denominator sin squared straight A end fraction equals 1 rightwards double arrow straight m squared minus straight n squared cos squared straight A equals sin squared straight A rightwards double arrow straight m squared minus straight n squared cos squared straight A equals 1 minus cos squared straight A rightwards double arrow straight m squared minus 1 equals cos squared straight A left parenthesis straight n squared minus 1 right parenthesis rightwards double arrow cos squared straight A equals fraction numerator straight m squared minus 1 over denominator straight n squared minus 1 end fraction end style
Answered by Rashmi Khot | 22 Feb, 2018, 10:03: AM

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