## Question

###### How do you graph the point #N(-1,120^o)#?

How do you graph the point #N(-1,120^o)#?

## Answers

Please see below.

## Explanation:

Generally when a point is mentioned in polar coordinates, it is in the form

#(r,theta)# i.e. we move at an angle of#theta# and then at a distance of#r# from pole (equivalent to point#(0,0)# in Cartesian coordinates).#r# is then always taken as positive.Here although the angle is mentioned as

#120^@# and it means the point should be in second quadrant in Cartesian coordinates, but as#r# is mentioned as#-1# , it means moving one unit in opposite direction (i.e. in fourth quadrant) and point, say#N(-1,120^@)# should appear as follows.

This is equivalent to

#(-cos120^@,-sin120^@)# i.e.#(1/2,-sqrt3/2)# in Cartesian coordinates.

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