Find `dy/dx` when `y = theta + sin theta and x = 1 + cos theta`.

Find dy/dx when x=a (theta + sin theta), y = a(1 + cos theta)

Find dy/dx when x= a (theta + sin theta), y = a(1+cos theta)

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find dy/dx : x = a(theta - sin theta), y = a(1+cos theta)

Find dy/dx when x = cos theta + cos 2 theta, y = sin theta + sin 2 theta)

Find dy/dx when x = a (cos theta + theta sin theta) , y = a (sin theta - theta cos theta).

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find dy/dx : x = a(cos theta + theta sin theta), y = a(sin theta - theta cos theta)

Find (d^2y)/dx^2 , if x = a (theta - sin theta), y = a(1+cos theta)

Find sin 2 theta when sin theta + cos theta= 1 .

Find (d^2y)/(dx^2) when : x=2 cos theta - cos 2theta and y = 2 sin theta - sin 2theta .