Find `dy/dx` when `x=a tan theta, y = a cot theta`.

Find dy/dx when y = tan (x+y)

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)

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 sec theta, y = b tan theta

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

Find dy/dx when tan(x+y) + tan (x-y) = 1

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

Find (dy)/(dx) when x=a(theta-sintheta),y=b(1-costheta) .

Find (d^2y)/(dx^2) at theta = pi/2 when: x=a(theta - sin theta), y = a(1-costheta)