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Find the value of dy/dx" at "theta=pi/4,...

Find the value of `dy/dx" at "theta=pi/4`, if :
`x=ae^(theta)(sintheta-costheta)andy=ae^(theta)(sintheta+costheta)`.

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Knowledge Check

  • inte^(sintheta)[log(sintheta)+cosec^(2)theta]costheta"d"theta=

    A
    `e^(sintheta)[log(sintheta)+cosec^(2)theta]+c`
    B
    `e^(sintheta)[log(sintheta)+cosectheta]+c`
    C
    `e^(sintheta)[log(sintheta)-cosectheta]+c`
    D
    `e^(sintheta)[log(sintheta)-cosec^(2)theta]+c`

  • If cos theta-4sintheta=1, the sintheta+4costheta=

    A
    `+-1`
    B
    0
    C
    `+-2`
    D
    `+-4`

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    Find dy/dx if x=a(theta+sintheta), y=a(1-costheta)

    (sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

    Evaluate: int(1+costheta)/(theta+sintheta)d theta

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