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

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

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

Find (d^(2)y)/(dx^(2)) in the following x=a(theta+sintheta),y=a(1+costheta)

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

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

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

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

Find the slopes of the tangent and the normal to the curve x=a(theta-sintheta),\ \ y=a(1-costheta) at theta=pi//2

Find the equations of the tangent and the normal to the curve x=a(theta+sintheta),\ \ y=a(1-costheta) at theta at indicated points.