Famous Curves given by Polar Equation

Construct the tangent to the Kappa curve given in polar coordinates by

r = cot t

Construct the tangent to the Kampyle of Eudoxus given in polar coordinates by

r = sec 2 t

Construct the tangent to inverse of the quadrifolium given in polar coordinates by

r = sec 2t

Construct the tangent to the double folium given in polar coordinates by

r = sin t sin 2t

Construct the tangent to the right strophoid given in polar coordinates by

r = sec t cos 2t

Construct the tangent to the trifolium given in polar coordinates by

r = cos 3t

Construct the tangent to the quadrifolium given in polar coordinates by

r = cos 2t

Construct the tangent to the Freeth's nephroid given in polar coordinates by

r = 1 + 2 sin(t/2)

Construct the tangent to the conchoid of Nicomedes given in polar coordinates by

r = b + a sec t

Construct the tangent to the Cayley's sextic given in polar coordinates by

r = cos 3 t/3

Construct the tangent to the trisectrix given in polar coordinates by

r = sec t - 4cos t

Construct the tangent to the limacon of Pascal given in polar coordinates by

r = a cos t + b

Construct the tangent to the cissoid of Diocles given in polar coordinates by

r = sin t tan t

Construct the tangent to the conchoid de Sluze given in polar coordinates by

r = k2 cos t / a + a sec t