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Prove that y = (4 sin theta)/((2 + cos t...

Prove that `y = (4 sin theta)/((2 + cos theta)) - theta` is an increasing on `theta` in `[0, (pi)/2]`.

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Prove that y = (4 sin theta)/((2 + cos theta)) - theta is an increasing function in [ 0, (pi)/(2)] .

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Knowledge Check

  • int_0^(2pi) theta sin^2 theta cos theta d theta is equal to :

    A
    0
    B
    `(16pi)/3`
    C
    `pi/16`
    D
    `(3pi)/16`

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