In Exercises 59–74, convert each polar equation to a rectangular ...

Question

In Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation.

r = 4 csc θ

Accepted Answer

Transform the given polar equation into a rectangular equation. Use the resulting equation to draw a graph where we have R equals to sequence data. We're also given a coordinate plan to graph our equation on. Now, if R equals to co and the one of our trick identities we should know is cos theta theta is one divided by sine theta. So let's replace our co sequent with one divided by sine. We get R equals two multiplied by one divided by sine data. Now we can multiply both sides by assigned data, we would get our data equals two. Uh Finally, we know that our sine data is actually a representation of Y. If we know this, we can replace that with Y giving us Y equals two. We now have the equation of our line. This will be a horizontal line, two units up from the origin. This line is a flat line that looks something like this with our equation Y equals two. OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 4 csc θ