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Prove the following identities: (cosA)/...

Prove the following identities: `(cosA)/(1-tanA)+(sin^2A)/(sinA-cosA)=sinA+cosA`

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`cosA/(1-tanA)+(sin^2A)/(sin A- cosA)`
`cosA/(1-sinA/cosA)+(sin^2A)/(sin A- cosA)`
`cosA/((cosA-sinA)/cosA)+(sin^2A)/(sin A- cosA)`
`cos^2A/(cosA-sinA)-(sin^2A)/(sin A- cosA)`
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