In Exercises 21–26, use a polar coordinate system like the one sh...

Question

In Exercises 21–26, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. Then find another representation of this point in which a. r>0, 2π < θ < 4π. b. r<0, 0. < θ < 2π. c. r>0, −2π. < θ < 0. (5, π/6)

Accepted Answer

The following point has polar coordinates. But in the polar coordinate system then determine another point that has the same location as given in which R is greater than zero. Our angle theta is between four pi and six pi with our point a seven pie over three. Now we're given a graph here to plot her point on we have seven pie over three where our radius are seven angle. Theta is pi divided by three. Now on our graph, our angle pi divided by three corresponds with our second line here from zero. Now radius is seven. So we will count seven from the origin. 1234567 plot the point right there that is our seven pi divided by three points. Now, we need a point that's in the same location, but over theta is between four pi and six pi. Now to check this, we can add two pie to our angle. And every time we have two pi to our angle, we go around the circle once. So right now we are at pi divided by three to get the same angle, we will add two pipe. Now if you add two, get pi divided by three plus six pi divided by three, which is a seven pi divided by three. Now, since we only added two pie, we're only between two pi and four pie. For our data, let's add another two pipe seven pi divided by three plus two pi which means we have seven pi divided by three plus six pi divided by three, giving us 13 pi divided by three. Now, you know this angle is indeed between four pi and six P which means our new point will be seven 13 pi divided by three. OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 21–26, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. Then find another representation of this point in which a. r>0, 2π < θ < 4π. b. r<0, 0. < θ < 2π. c. r>0, −2π. < θ < 0. (5, π/6)