Convert the polar equation r = -6 \cos θ to a rectangular equation in x an

rocedwrp 2021-09-24 Answered

Convert the polar equation r=6cosθ to a rectangular equation in x and y.

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Expert Answer

l1koV
Answered 2021-09-25 Author has 100 answers

Step 1
Consider the given polar equation:

r=6cosθ​​​​​​​

Here, the objective is to convert the given polar equation into a rectangular equation in x and y.

Step 2

Re-write the given polar equation as:

r=6cosθ

Multiply both sides by r

r2=6rcos0

To convert the polar equation into a rectangular equation in x and y, use

r2=x2+y2

x=rcos0

y=rsin0

So

x2+y2=6x

x2+y26x=0

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