Polar coordinates are entered using R∠Angle, where ∠ is Shift-x (multiply). Rectangular coordinates are entered using complex values as in a+b*i (where i is Shift-2). Also useful is the π symbol (shift-3).
You can convert angles between radians and degrees by using the Shift-Units menus. From the tools menu, the CONVERT function does the conversion. Then you can select (rad) or (deg) from the Units-Angle menu. So, use CONVERT(1.5_(rad),1_(deg)) to convert 1.5 radians to degrees. You do have to enter the 1 in 1_(deg). Note that other angle formats are also available in Units-Angle.
In the geometry app you can enter a point in either form using the point() function.
If you enter a polar coordinate as in 1∠(π/4), and hit enter, and then hit the ∠ button again, it'll convert the number to it's rectangular/complex form.
When using negative angles, be sure to use the +/- key rather than the - key.
Note that if your system is set to radians by default, you can enter degrees by using shift-units and from the units menu, select angle-deg and the value will appear as 30_deg for example. if you type 1∠30_deg and hit enter, it'll convert automatically to 1∠0.5325… (radians). To enter a point this way in the geometry app, you cannot enter point(1∠30_deg), but you can enter 1∠30 on the home view and hit enter to convert to radians. Then, in the geometry app, you can enter point() and select menu-copy_from_home and select the radian version to put it in the point call. You can alternatively enter point(EXPR(“1∠30_deg”)).
The following function is a useful one to have in your arsenal. It will convert from polar to rectangular and vice versa…automatically. It must be run from Home mode.
EXPORT POLREC(Z) // POLAR/RECT CONVERT BEGIN LOCAL T,A,B; T:=STRING(Z); IF INSTRING(T,"∠") THEN // POLAR A:=RE(Z); B:=IM(Z); RETURN EXPR(A "+" B*i); ELSE // RECTANGULAR A:=ABS(Z); B:=ARG(Z); RETURN EXPR(A "∠" B); END // IF... END // BEGIN