For the point given 08 in rectangular coordinates find equiv

For the point given (0,-8) in rectangular coordinates, find equivalent polar coordinates (r,) that satisfy the conditions.

(a) r > 0, 0°<360°

(b) r < 0 ,-180° < 180°

Solution

P = P(0, -8)

P = P(0, -8) ========> r = sqrt[0^2 + (-8)^2] = 8

tan = -8/0 =====> = pi/2

(a) r > 0, 0°<360°

P = (8, pi/2)

(b) r < 0 ,-180° < 180°

P = (-8, -pi/2)

For the point given (0,-8) in rectangular coordinates, find equivalent polar coordinates (r,) that satisfy the conditions. (a) r > 0, 0°<360° (b) r < 0

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