$\"\"$

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Conversion from rectangular coordinates to polar co-ordinates :

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If $\"\"$ is a point with rectangular coordinates $\"\"$ , the polar coordinates $\"\"$ of $\"\"$ are given by $\"\"$ and $\"\"$ $\"\"$

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The point in rectangular co-ordinates is $\"\"$ .

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Conversion to polar coordinates :

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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The point in polar coordinates is $\"\"$ . $\"\"$

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The point in rectangular co-ordinates is $\"\"$ .

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Steps to plot the point :

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1. Draw a coordinate plane.

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2. Plot the point.

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Graph of the point $\"\"$ .

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$\"image\"$

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$\"\"$

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The point in polar coordinates is $\"\"$ .

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Graph of the point $\"\"$ .

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$\"image\"$