**Problem : **
Given a point in rectangular coordinates
(*x*, *y*)
, express it in polar
coordinates
(*r*, *θ*)
two different ways such that
0≤*θ* < 2*Π*
:
(*x*, *y*) = (1,)
.

**Problem : **
Given a point in rectangular coordinates
(*x*, *y*)
, express it in polar
coordinates
(*r*, *θ*)
two different ways such that
0≤*θ* < 2*Π*
:
(*x*, *y*) = (- 4, 0)
.

**Problem : **
Given a point in rectangular coordinates
(*x*, *y*)
, express it in polar
coordinates
(*r*, *θ*)
two different ways such that
0≤*θ* < 2*Π*
:
(*x*, *y*) = (- 7, - 7)
.

**Problem : **
Given a point in polar coordinates
(*r*, *θ*)
, express it in rectangular
coordinates
(*x*, *y*)
:
(*r*, *θ*) = (3,)
.

**Problem : **
Given a point in polar coordinates
(*r*, *θ*)
, express it in rectangular
coordinates
(*x*, *y*)
:
(*r*, *θ*) = (1,)
.

**Problem : **
Given a point in polar coordinates
(*r*, *θ*)
, express it in rectangular
coordinates
(*x*, *y*)
:
(*r*, *θ*) = (0,)
.

**Problem : **
How many different ways can a point be expressed in polar coordinates such that
*r* > 0
?

**Problem : **
How many different ways can a point be expressed in polar coordinates such that
0≤*θ* < 2*nΠ*
?