Problem 2.1:
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 2.2:
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 2.3:
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 2.4:
Given a point in polar coordinates
(r, θ), express it in rectangular
coordinates
(x, y):
(r, θ) = (3,
).
Problem 2.5:
Given a point in polar coordinates
(r, θ), express it in rectangular
coordinates
(x, y):
(r, θ) = (1,
).
Problem 2.6:
Given a point in polar coordinates
(r, θ), express it in rectangular
coordinates
(x, y):
(r, θ) = (0,
).
Problem 2.7:
How many different ways can a point be expressed in polar coordinates such that
r > 0?
Problem 2.8:
How many different ways can a point be expressed in polar coordinates such that
0≤θ < 2nΠ?
