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Prove that: sqrt((1+cosA)/(1-cosA))=cose...

Prove that: `sqrt((1+cosA)/(1-cosA))=cosecA+cotA`

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LHS
`sqrt((1+cosA)/(1-cosA)`
`sqrt((2cos^2A/2)/(2sin^2A/2))`
`cos(A/2)/sin(A/2)`
`(2cos^2(A/2))/(2cos(A/2)sin(A/2))`
`(1+cosA)/sinA`
`1/sinA+cosA/sinA`
`cosecA+CotA`
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