(Solved by Humans)-A plot in polar coordinates: clf ( ) theta = %pi/4 // radians

Question

A plot in polar coordinates:

clf()

theta = %pi/4 // radians

theta*360/(2*%pi) // degrees

z = 3+4*%i

theta = atan( real(z)/imag(z) ) // radians

r = abs(z)

r*( sin(theta) + %i*cos(theta) ) // z !!!

// now to plot

theta = linspace(0,2*%pi) ; // 100 points

r = 1+cos( 2*(theta-%pi/6) ) ;

polarplot(theta,r)

You may need to resize your window to see the entire plot.

Add a title to your plot using Edit, Axes Properties (remember to click out of the box for the title

to appear).

Why are the two ?eggs? orientated at 30degrees? What are the effects on this curve of doubling

(i) the period shift at ?2*?

(ii) the phase shift at ?-pi/6??

Note: You can use the command polar(z) to transfer a complex number z into its polar form e.g.

[Rho, Theta](z)

Theta =

0.9272952 - 8.327D-17i

Rho =

5.