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

1.	If cosecant a + cot a = m show that m square minus one by m square + 1 = cos a
Answer» Lhs (CosecA+cotA)^2-1/(cosecA+cotA)^2+1CosecA^2+cotA^2+2cosecAcotA-1/CosecA^2+cotA^2+2cosecACotA+1(CosecA^2-1)+cotA^2+2cosecACotA/CosecA^2+(cotA^2+1)+2cosecAcotACotA^2+cotA^2+2cosecACotA/CosecA^2+cosecA^2+2cosecAcotA2cotA^2+2cosecACotA/2cosecA^2+2cosecACotA2cotA(cotA+cosecA)/2cosecA(cosecA+cotA)After cancellationCotA/cosecACosA/sinA*1/sinAWhich is cosAHence proved

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