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

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

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

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

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

Find (dy)/(dx) , if x=costheta-cos2theta , y=sintheta-sin2theta

If x and y are connected parametrically by the equations given in, without eliminating the parameter, find dy/dx . x=a(costheta+log"tan"theta/2),y=asintheta .

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

Find (dy)/(dx) , when x=costheta+cos2 theta,y=sin theta+sin2theta