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If cosecant a + cot a …

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If cosecant a + cot a = m show that m square minus one by m square + 1 = cos a
  • 1 answers

Harathi Kallem 6 years, 3 months ago

Lhs (CosecA+cotA)^2-1/(cosecA+cotA)^2+1 CosecA^2+cotA^2+2cosecAcotA-1/ CosecA^2+cotA^2+2cosecACotA+1 (CosecA^2-1)+cotA^2+2cosecACotA/ CosecA^2+(cotA^2+1)+2cosecAcotA CotA^2+cotA^2+2cosecACotA/ CosecA^2+cosecA^2+2cosecAcotA 2cotA^2+2cosecACotA/ 2cosecA^2+2cosecACotA 2cotA(cotA+cosecA)/ 2cosecA(cosecA+cotA) After cancellation CotA/cosecA CosA/sinA*1/sinA Which is cosA Hence proved
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