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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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(1+sinA-cosA)/(1+sinA+cosA)=

Consider the following 1. (cosA)/(1-tanA)+(sinA)/(1-cotA)=sinA+cosA 2. (1-sinA-cosA)^2=2(1-sinA)(1+cosA) Which of the above is/are identity/identities?

Knowledge Check

  • (1+sinA-cosA)/(1+sinA+cosA)=?

    A
    `tan""(A)/(2)`
    B
    `cot""(A)/(2)`
    C
    `sin""(A)/(2)`
    D
    `cos""(A)/(2)`

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