Plot the point having the polar coordinates (2,30°). Then find different polar coordinates (r,θ) for the same point for which (a) r<0 and 0°≤θ<360°, (b) r<0 and −360°<θ<0°, (c) r>0 and −360°<θ<0°.
Plot the point having the polar coordinates (2,30°). Then find different polar coordinates (r,θ) for the same point for which (a) r<0 and 0°≤θ<360°, (b) r<0 and −360°<θ<0°, (c) r>0 and −360°<θ<0°.
a) The polar coordinates for the point (2,30°) for which r<0 and 0°≤θ<360° is ____. (Type an ordered pair. Do not include the degree symbol in your answer. Type the coordinate for θ in degrees.)
b) The polar coordinates for the point (2,30°) for which r<0 and −360°<θ<0° is _____. (Type an ordered pair. Do not include the degree symbol in your answer. Type the coordinate for θ in degrees.)
c) The polar coordinates for the point (2,30°) for which r>0 and −360°<θ<0° is _____. (Type an ordered pair. Do not include the degree symbol in your answer. Type the coordinate for θ in degrees.)
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