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Prove that (cot theta -cos theta )/( cot...

Prove that `(cot theta -cos theta )/( cot theta +cos theta ) =(cos ec theta -1)/( cosec theta +1) `

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Prove that (1+ cot theta + tan theta ) ( sin theta - cos theta) = (sec theta )/(cosec^(2) theta) - (cosec theta)/(sec^(2)theta) .

cos theta . Cosec theta = cot theta

Knowledge Check

  • ( 1 + tan theta + sec theta ) ( 1 + cot theta - cosec theta ) =

    A
    ` 0 `
    B
    ` 1 `
    C
    ` 2 `
    D
    ` - 1 `

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    Prove that (sec theta + tan theta)^(2) = (cosec theta +1)/(cosec theta -1) .

    Prove that: sin theta (1 + tan theta) + cos theta (1+ cot theta) = sec theta + cosec theta .

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