Which set of polar coordinates describes the same location as the rectangular coordinates (0,-2)?
Stacey Warren - Expert brainly.com
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plot the point (0,-2) on the xy axis system
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+2 or just 2
distance can't be negative
So B? (2,0)
what is the angle marked in the drawing
r = 2
theta = 270
so one possible polar representation is (2,270)
I use the key term "possible" because there are actually infinitely many ways to do this
we can add on multiples of 360 to theta to get other representations
and I did say that the distance can't be negative, but in polar form, r can be negative
yeah it's a bit strange, but think of it like this
if you had the polar point (-2,90), you would face the 90 degree direction like normal. Instead of walking forward 2 units, you would walk backward 2 units. This is while facing the 90 degree angle. You don't stop facing this direction
so in terms of polar points, (2,270) = (-2,90)
YOu can test the options
for a) (-2,270) that is r =-2, theta = 270
and x = r cos theta = -2 * cos (270) =0
y = r sin theta = -2 *sin (270) = -2*(-1) =2
hence it is (0,2) while the given point is (0,-2)
therefore, a) is not the correct answer.
Do the same with other options until you get (0,-2), the given point.