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show that (1 + cos theta - sin^2 theta)/...

show that `(1 + cos theta - sin^2 theta)/[(1 + cos theta)sin theta]` = `cot theta`

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Knowledge Check

  • ( cos 3 theta - sin 3 theta )/( cos theta+ sin theta ) =

    A
    `1+2 sin 2 theta `
    B
    `1- 2 sin2 theta `
    C
    `1+ 2 sin 2 theta `
    D
    `1-2 cos 2 theta `

  • (cos theta + sin theta )^(2) + (cos theta - sin theta )^(2) =

    A
    0
    B
    1
    C
    2
    D
    `sqrt(2)`

  • (cos theta + sin theta )/( cos theta - sin theta )-(cos theta - sin theta )/( cos theta + sin theta ) =

    A
    `2 sin theta `
    B
    `2 cos theta `
    C
    `2 tan 2 theta `
    D
    `2 cot 2 theta `

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    Show that (cosec theta- cot theta)^(2) = (1-cos theta)/(1+cos theta)

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    If cos theta + sin theta =a , " then " sin 2 theta =

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