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Question

Prove: cosAsinA+1cosA+sinA1=1cosecAcotA

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Solution

provethatcosAsinA+1cosA+sinA1=1cosecAcotA(cosAsinA+1)(cosA+sinA+1)(cosA+sinA1)(cosA+sinA+1)=(cosA+1)2(sin2A)(cosA+sinA)21=2cos2A+2cosA2sinAcosA=2cosA(cosA+1)2sinAcosA=1cos2AsinA(1cosA)=1cosecAcotAHence,proved

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