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Chapter 9: Q. 1 (page 629)

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

3,蟺6

Short Answer

Expert verified

The rectangular co-ordinates of the polar co-ordinate 3,蟺6are332,32and the graph is

Step by step solution

01

Step 1. Given Information

We are given the polar co-ordinates as3,蟺6

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

r=3胃=蟺6

02

Step 2. Plotting the polar co-ordinate

Since the angle is 蟺6, we will make the angle between the axis and the line as 蟺6. Also the length is given as r=3

Therefore, the graph will look like,

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 of

x=3路cos蟺6=332

The value of y=rsin胃=3路sin蟺6=32

The co-ordinate will be332,32

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