The curve given by the parametric equations

is called a strophoid.
(a) Find a rectangular equation of the strophoid.
(b) Find a polar equation of the strophoid.
(c) Sketch a graph of the strophoid.
(d) Find the equations of the two tangent lines at the origin.
(e) Find the points on the graph at which the tangent lines are horizontal.

Transcribed Image Text:

x(t) 1 - 1² 1 + 1² and y(t) t(11²) 1 + 1²