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The graph of the polar equation r = 2sec8 isSelect one: A cardioidb. A horizontal lineA circleA vertical line...

Question

The graph of the polar equation r = 2sec8 isSelect one: A cardioidb. A horizontal lineA circleA vertical line

The graph of the polar equation r = 2sec8 is Select one: A cardioid b. A horizontal line A circle A vertical line



Answers

Parametric Form of a Polar Equation A polar equation is given. (a) Express the polar equation in parametric form. (b) Use a graphing device to graph the parametric equations you found in part (a). $$ r=2^{\sin \theta} $$

Right here on this problem. We've been given this polar equation and we want to write it in Parametric equations. Now, in General X is equal to our of tea co sign T. Why is equal toe are of tea signed Teoh And so here Since R is equal sine theta plus two coastline data, this tells us X is equal to sign t plus to co sign t. You know, I just party anti instead times the co sign of tea Agent Ortiz on shows on TV and then why is equal to the sine of t was to co sign t times the sine of t. And so this is our parametric equations Now we're also told the graphic using a graphing utility So whatever graphing utility you'd like to use does most graphing calculator, whatever. Whenever you do that, you'll see it goes through 00 and it goes through 20 and it looks like a circle. Okay, my circles Not perfect, but it'll or something like that

But I we recorder Any political life had a formula angst ego to some constant a but in the polar coordinate x company, right? As the on times cause I under Tita, you could use a Therefore we can ghenda on what you could you I have a ghost time that you don't and ah, one of a course I t talking Berate them as the second. So it will be eight him second under Tita And this will be the question off the vertical line in a but B we need to find an a lot Paula question from the hearthstone line. So something from the heart and the lie Why coaches some constant a and again for the y in the polar coordinates in we could you aren't hams sigh under Tita in could you? Therefore we could, you know, verse I I'm the Teton one of a side we could, you know, go second off the Anglo Tita. And this will be a question when you can fall so many times, go second on a cheetah

Given this equation are in close to two over close signs of state A plus sign of data. If you re write this equation. Okay. Let's multiply because I set a plus sign of Ceta to both sides of the equation. So I got this question. Okay, so we know our times. Because I say that plus R times sine of see that you posted to. But there are times cause sensitized X. R. Times sine of theta equals two. Why? So this is equivalently as X plus Y. It goes to two indirect angular system coordinate system. Yeah. So this rapper that a lie. Okay. So it seems that our only choice is option B. Okay, so for this one we choose to be.

Were given. Why equals B And we want to find edge polar form. So why is actually equal to are signed? Beta, you're going to use this to pull again. Our sign beta equals B not justified by science data. Yes, R is equal to be over signed data.


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