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Rewrite the following polar equation in rectangular form.r=7.6coso - 9sing

Rewrite the following polar equation in rectangular form.r=7.6coso - 9sing-example-1
User DollarAkshay
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1 Answer

22 votes
22 votes

Given:


r\text{ = }\frac{7}{6cos\theta\text{ -9sin}\theta}

Step 1: Cross-Multiply


6rcos\theta\text{ - 9rsin}\theta\text{ = 7}

By definition:


\begin{gathered} x\text{ = rcos}\theta \\ y\text{ = rsin}\theta \end{gathered}

Step 2: Substitute the expression for x and y:


6x\text{ - 9y = 7}

Hence, the rectangular form of the given polar form:

6x - 9y = 7

User Pellul
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