Question

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°.

Answer 1

help anybody

Answer 2

Do you know how to write in polar form (how the coordinates are represented)?

Answer 3

no i do not that why i came here

Answer 4

Okay, so in rectangular coordinate system we have a point on a plane represented by two perpendicular values, like this:

In a polar coordinate system the point is instead represented by a angle (theta) and the length from center (r):

Answer 5

ok make some what sense so how do i transfer that eqaution and find the answer

Answer 6

To covert from rectangular to polar you use the following formulas:
pythagoras to get the lenght \[r = \sqrt{x^{2} + y^{2}}\]
and atan for the angle \[atan(x/y)\]note that atan only give the angle, so in this particular case, we have to add 3/4 of 360 = 270 and thus we get the final formula for this particular case:\[\theta = 270 + atan(x/y)\]