Find the length of normal to the curve `x=a(theta+sintheta),y=a(1-costheta)` at `theta=pi/2dot`

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 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.

Find the equations of the tangent and the normal to the curve x=theta+sintheta , y=1+costheta at theta=pi//2 at indicated points.

Find the equation of the tangent to the curve x=theta+sintheta,y=1+costheta at theta=pi/4dot

Find the slope of the normal to the curve x=1-asintheta , y=b\ cos^2theta at theta=pi/2 .

Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ sin^3theta at theta=pi/4 .

Find the equation of the tangent to the curve x=theta+sintheta , y=1+costheta at theta=pi//4 .

if the tangent to the curve x=a(theta+sintheta) , y=a(1+costheta) at theta=pi/3 makes an angle alpha x=axis then alpha

Find the equation of the normal to the curve x = acostheta and y = b sintheta at theta