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Step 1 :

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Conversion from rectangular coordinates to polar co-ordinates :

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

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Step 2 :

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The point is $\"\"$

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Conversion to polar coordinates :

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

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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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Step 3 :

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(b)

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The point is $\"\"$

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Conversion to polar coordinates :

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

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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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Solution :

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(a) The point $\"\"$ in polar coordinates is $\"\"$

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(b) The point $\"\"$ in polar coordinates is $\"\"$