Given any Cartesian coordinates, (x,y), there are polar coordinates (r, ?) with -?/2

Name: Given any Cartesian coordinates, (x,y), there are polar coordinates (r, ?) with -?/2 < ? ? ?/2. Find polar coordinates with -?/2 < ? ? ?/2 for the following Cartesian coordinates: (a) If (x, y) = (10, 1) then (r, ?) = ( , ), (b) If (x, y) = (14, -3) then (r, ?) = ( , ), (c) If (x, y) = (-6, 3) then (r, ?) = ( , ), (d) If (x, y) = (14, 9) then (r, ?) = ( , ), (e) If (x, y) = (-4, -6) then (r, ?) = ( , ), (f) If (x, y) = (0, -4) then (r, ?) = ( , ).
Uploaded: 2023-12-12T00:08:58-08:00
Duration: 2 min 43 s
Channel: Justin Swantek

Question

Given any Cartesian coordinates, (x,y), there are polar coordinates (r, ?) with -?/2 &lt; ? ? ?/2.

Vincenzo Zaccaro · Accepted Answer

(a) If (x,y)=(10,1) then (r,θ)=(√101, atan(1/10)) = (10.05, 0.10)

Question

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