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Find the cartesian coordinates corresponding to (r,0) = (10.Om, 30.09) 8.66m1 , 5.Om8,6611 , [ Om5.8 m, 8.66m15.0 m, 8,66mNone of the choices_Moving to another ques...

Question

Find the cartesian coordinates corresponding to (r,0) = (10.Om, 30.09) 8.66m1 , 5.Om8,6611 , [ Om5.8 m, 8.66m15.0 m, 8,66mNone of the choices_Moving to another question will save this response

Find the cartesian coordinates corresponding to (r,0) = (10.Om, 30.09) 8.66m1 , 5.Om 8,6611 , [ Om 5.8 m, 8.66m1 5.0 m, 8,66m None of the choices_ Moving to another question will save this response



Answers

Find the Cartesian coordinates of the points in Problem 5.

So to find the polar coordinate or the Cartesian coordinates we wanna remember that the X. Cartesian coordinate is equal to um arcosanti or our coastline data and the Y coordinate is equal to our science data or our society. So in this case we're going to start with R. R. Equals and R. T. Equals. So here we have articles 3/2 or three right to and T. Equals seven hydrogen. And Let's give us X. equals zero. And why? It was a negative 4.24. Um And then we'll have our equals -1 and we'll have a 15 pile before. Yeah Then we'll have our equals negative square root two and negative cheap birds pie to go to the X. And Y. Values. And then one more will have -2 route to And 29 pi. Uh huh. So this is gonna be our final exam. My values.

To find the final point after rotating from 0.0.5 comma. One with failure equals 60 degrees first right out the equations X equals X Co Sign of Fader minus y Sign of Fada and why it was X Sina, the Fada Plus Why co sign of Fada and plugging in the 0.5 Come a one into X and Y and 60 degrees into Fada. We get, um, side Cosan, 60 degrees minus Sign Earth. It's a sign of 60 degrees and five. Sign of 60 degrees. Close Khost, son of 60 degrees and solving with coast son of six degrees, equal to 1/2 and sign of 60 degrees. Three over to you gotta file. Answer to be five minus truth 3/2 and five. Work three. Close 1/2.

We want to take all of the polar coordinates from exercise one and translate those two Cartesian coordinates. So if you've already watched Ah, the video for exercise one. That is how we went about solving it, to show which of these points are the same. So if you've already watched that video, you don't need to watch this one as well because it will have the same answers for the Cartesian points in the end. So let's go through what we did begin, though. So remember when we write something in polar coordinates, boys, right as our data or ours, radius and data is our angle to translate this to Cartesian, remember, what will end up having is our X is equal to our co sign of data and our why is it to our sign of data? So all we need to do is go ahead and plug all these in to our formula. And from that we can go ahead and get our Cartesian or rectangular coordinates. So remember, the 1st 1 will be our the second will be made us. Let's just start plugging everything. Get so our radius is R and R angle is so we'll have three co sigh of zero, not beta. Look zero three cy of zero. And to remember, Coastline of Zero is going to be one sign of zeros going to be zero. So this here is equal to 30 Then for the next one we have our radius is negative three and Arteta is zero. So negative. Three co sign of zero negative three. Sign of zero and again coastline of zeros. One signing 00 So this would give us negative three zero for this next one. Our radius is too and our angle is to buy thirds. So we will have two co sigh of two pi thirds to sign of two pi thirds and you might recall that co sign of two pipe thirds. Well, that's going to be negative. 1/2 and then sign of two pi. Third is going to the Route three over two. Now simplifying these down, we'll end up with negative one room three or our next one. We will have two co sign seven pi thirds and to sign seven pi thirds. Now remember seven pi thirds. Well, that's larger than two pi, so we can go ahead and subtract two pie from that to get pie. Third and then co sign of pie. Third should be 1/2 and then sign of pie. Third, should be Route three over two. Then simplifying these down, we'd get one Route three for our next one. Our radius is negative three. And our angle data is pie, so we'll have negative three co sign of pie three. Sign of pie now co sign of pie is negative. One sign up, I zero. So this here will give us three zero now for our next one. Our radius is too and our angles pie third. So this is going to be too co sign of pie. Third to sign of pie. Third and just like a d, we said co sign a pie third to be 1/2 and sign of pie. Third should be Route three over two and then that simplifies down to one Route three, then for next one will have our our as three. And it is to pie. Will have negative three co sign of two pi Negative three sign of two pie and remember two pies. The same thing is just zero or rotation. So this will be co sign of zero, which is one and then sign of zero, which is zero. So this is going to get us negative 30 And then for a last point here, we will end up with negative to co sign of negative pie. Third negative to sign off. Negative pie. Third Now recall that co sign is an even function so co sign of negative. Piper does the same thing as coast on pie Third. So that is going to be 1/2 and then sign of negative python Will sign is an odd function so we can pull that negative out and then just find out what sign of pie third is, which we already found a couple of times being Route three over two. Then we can go ahead and simplify these down and we'll end up with negative one Route three. And so each of these coordinates can be translated from polar to Cartesian. Using this method here and all the ones that we're boxing will be our new points or the new way we write them using the Cartesian coordinates

In this question, you have to find out according sure, sure, and the coordinates of the point. While you unless extra money. So these are moving. Okay, so the extras the record named the new exported It will be exposed West, right? So anything that's related excess vm cool cost two days for six years, and that is one very do less wise five times a day Are you looking for? We'll begin seeing. Also have Olivia getting for me already. She said she this fire TV. So why does he? Well, when you six times That's right course it has looks for Liza Liza minus X minus two Design sixties Allegedly truchi my to Les Boys five and sculpted eyes One American if it's certified, actually bigger than Yes, my best floral team. But when it's toe TV too plus side, if this is your favorite, getting by this tool plus five. So these are that new X A like for our tradition after the tradition, but enough 60


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