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If x=a(cos theta+log tan(theta/2)) and y...

If `x=a(cos theta+log tan(theta/2))` and `y=a sin theta` then find `(dy)/(dx)` at `theta=pi/3` and `theta=pi/4`

Text Solution

Verified by Experts

The correct Answer is:
`(sec^(2) theta.tan^(2) theta)/(a sin theta)`
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Knowledge Check

  • If x = a (cos x + log tan theta/2) and y = a sin theta then dy/dx is equal to

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

  • If x=a cos ^(3) theta and y = a sin^(3) theta then (dy)/( dx) =

    A
    `(3sqrt(y))/( x)`
    B
    `-3sqrt((x)/(y))`
    C
    `3sqrt((x)/(y))`
    D
    `3sqrt((y)/(x))`

  • If x=a(theta+sintheta),y=a(1+sintheta), then (dy)/(dx) at theta=pi/3 is :

    A
    `1/3`
    B
    3
    C
    `(sqrt(3))/(2+sqrt(3))`
    D
    `(2+sqrt(3))/(sqrt(3))`.

    • Similar Questions

    Explore conceptually related problems

    If x=a(theta-sin theta) and y=a(1+cos theta) , then proe that (dy)/(dx)=-cot""(theta/2) .

    If x= a(theta+ sin theta)" and "y= a(1-cos theta) prove that (dy)/(dx)= tan ((theta)/(2)) .

    If x = a(cos theta + theta sin theta), y = a (sin theta - theta cos theta), (dy)/(dx) =

    If x = theta cos theta + sin theta, y = cos theta- theta sin theta , then dy/dx at theta = pi/2

    If x = a(cos theta + theta sin theta), y = a (sintheta - theta cos theta), dy/dx =

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