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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Q2:
Convert into cartesian form.
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Q3:
Consider the Cartesian equation .Complete the following steps to find the polar form of the equation by writing an equivalent equation each time.
First, use the fact that to eliminate .
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Now, use the fact that to eliminate .
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Finally, make the subject.
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Q4:
Convert the equation into polar form.
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