9. Polar Equations

Given the point in cylindrical coordinates $(-4,3,4)$, what are its spherical coordinates $(\rho ,\theta ,\phi )$?

Given the polar coordinates $(3,\frac{\pi }{4})$, what are the corresponding Cartesian coordinates?

What are the rectangular coordinates of the point whose polar coordinates are $(3,\frac{\pi }{6})$?

Convert the point to rectangular coordinates.

$(-2,-\frac{\pi}{4})$

Convert the point to rectangular coordinates.

$(4,\frac{\pi}{6})$

Convert the point to rectangular coordinates.

$(-3,0)$

Convert the point to rectangular coordinates.

$(0,\frac{7\pi}{4})$

Convert the point to polar coordinates.

$(0,5)$

Convert the point to polar coordinates.

$(-2,2)$

Convert the point to polar coordinates.

$(1,1)$

Convert the point to polar coordinates.

$(-1,-\sqrt{3})$

For each pair of polar coordinates, (c) give the rectangular coordinates for the point. See Examples 1 and 2(a).

(1 , 45°)

For each pair of polar coordinates, (c) give the rectangular coordinates for the point. See Examples 1 and 2(a).

(3 , 120°)

For each pair of polar coordinates, (c) give the rectangular coordinates for the point. See Examples 1 and 2(a).

(5 , ―60°)

For each pair of polar coordinates, (c) give the rectangular coordinates for the point. See Examples 1 and 2(a).

(―3 , ―210°)