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Chapter 9: Q. 3 (page 629)

In Problems 1鈥�3, plot each point given in polar coordinates, and find its rectangular coordinates:

-3,-蟺2

Short Answer

Expert verified

The rectangular co-ordinates of the polar co-ordinate -3,-蟺2are (0,3)and the graph is

Step by step solution

01

Step 1. Given Information  

We are given the polar co-ordinates as -3,-蟺2

Comparing it with standard polar co-ordinates (r,胃), we get,

r=-3,胃=-蟺2

02

Step 2. Plotting the polar co-ordinate  

Since the angle is -蟺2, we will make the angle between the axis and the line as -蟺2Also the length is given as r=-3(Opposite direction)

03

Step 3. Rectangular co-ordinates.  

We know, the relation between polar and rectangular co-ordinates is,

x=rcos胃andy=rsin胃

Thus the value is

x=-3.cos(-蟺2)x=0y=-3.sin(-蟺2)y=-3.-1y=3

Thus, the point will be(0,3)

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