We Now Must Find A Pair Of Polar Coordinates That Represents The Same Point With A Radius R 0 Recall That For A Negativ 1 (131.42 KiB) Viewed 18 times
We Now Must Find A Pair Of Polar Coordinates That Represents The Same Point With A Radius R 0 Recall That For A Negativ 2 (112.2 KiB) Viewed 18 times
We now must find a pair of polar coordinates that represents the same point with a radius r<0. Recall that for a negative radius, the resulting point is on the same line through the origin as the point with positive radius, it is the same distance from the origin, but it is on opposite sides of the origin. The angle of the direction opposite the point (9,4π) is σ
The angle of the direction opposite the point (9,4π) is σ= Step 3 We have found that the angle of the direction opposite the point (9,4π) is σ=45π. Therefore, the point opposite (9,45π)=(9,4π+π) should be our original point. This is in fact an example of the general fact that (−r,θ) represents the same point as (r,θ+π). Therefore, a pair of polar coordinates that represent the same point as (9,4π) but with r<0 is
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!