Worksheet: Conversion between Rectangular and Polar Equations
In this worksheet, we will practice converting equations from polar to rectangular form and vice versa.
Q1:
Consider the polar equation . Complete the following steps to help you find the Cartesian form of the equation by writing an equivalent equation each time.
Multiply both sides of the equation through by .
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Use the fact that to simplify the expression.
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Given that and , we can use the Pythagorean theorem to show that . Use this to eliminate the in the previous expression.
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Q4:
Convert the equation into polar form.
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Q8:
Convert the polar equation to the rectangular form.
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Q9:
Convert the polar equation to the rectangular form.
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Q11:
Convert into Cartesian form.
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Q12:
Convert into Cartesian form.
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Q13:
Convert into polar form.
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Q14:
Convert into polar form.
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Q15:
Convert into Cartesian form.
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Q16:
Convert into polar form.
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