sparknotes
Parametric Equations and Polar Coordinates
Problems
Problem :
Given a point in rectangular coordinates
(x, y)
, express it in polar
coordinates
(r, θ)
two different ways such that
0≤θ < 2Π
:
(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 < 2Π : (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 < 2Π : (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 < 2nΠ ?




),(- 2,
)
,
),(-
,
,
)


