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84) Sketch angle and Find 2 angles that are coterminal with 1lz...

Question

84) Sketch angle and Find 2 angles that are coterminal with 1lz

84) Sketch angle and Find 2 angles that are coterminal with 1lz



Answers

determine two coterminal angles (one positive and one negative) for each angle. Give the answers in degrees.

This time. Also, we want to calculate the co terminal language. The first angle is minus 1 20 degrees, minus one 20 degrees. In order to find the co terminal angles, I can add or subtract 3, 60 degrees. The reason is after moving in any direction in 3 60 degrees, I will reach out my initial position. Right. If I keep on moving 3 60 degrees, I will reach out my initial position, no matter which direction. So this is the first part. If I add 3 62 100 d I get to 40 degrees. This is my first quarterfinal angle. Because if I move in the positive direction I'm going to reach at 240 degrees. This angle is going to be to 14. And if I subtract 3 60 from this, which means I'm going to move like this in the anti clockwise direction, move in a full circle and come in this very position. So this is going to be if I subtract the 60 this really minus 40 degrees. These are my co terminal angles for this one, moving on to part B in part B. The angle that I have is 390 degrees. The angle that I have is 390 degrees. Okay, so how did I get here? 390. 390 degrees. I got here by rotating. Once I keep on moving and I read in the initial position. This is only 316 and I moved 30 degrees more. Right? And then I reached 390 degrees. Okay, so how do you find the quarter middle angles I can air are subtract 3 60 degrees. Now I want one positive and one negative coat. I'm in a language. So let me do one thing. Let me subtract 3 60 from this, so I will get 30 degrees. This is my first quarter mil angle because it will have the same terminal re and let me subtract 3 60 once more because I want a negative angle. So this will be minus 3 30 degrees. These are my co terminal angles here, and this is my answer

We want to calculate the co terminal angles. That is the good part. A part a is 300 degrees co terminal angles are the ones which have the same terminal array, right? This is 300 degrees, which means I started in the anti clockwise direction and I walked for 300 degrees. This angle is 300 degrees now. In order to find ho terminal angles, I add or subtract 3 60 degrees because 3 60 degree means if I moved 3 60 degrees in any direction, I will reach at my initial position, which means the terminal array will be the same. So if I want to find a positive terminal angle, I just add 3 60 degrees on that is going to give me 660 degrees. And if I want a negative angle, what I will do is I would walk 3 60 degrees in the clockwise direction, which means I subtract 3 60 from 300 I will get minus 60 minus 60 degrees, which is nothing but this angle. Okay, moving on going to Part B. I have 740 degrees now. I have 740 degrees now I have 740 degrees. Which means first I moved. I covered 3 60 degrees. Then I again moved on entire circle. Now I have covered 7, 20 degrees, and now I have over 20 degrees more. Right now this angle is 7. 40 degrees. Now again to find the code terminal language. What I'm going to do is I'm going to subtract 3 60 if I supplied 3. 60. What I'm getting is 3 80. So 380 degrees is my first positive quarterfinal angle. And what is going to be a negative terminal angle? Well, if I subtract 3 60 more, I reached to 20. But this is also not negative. So I subtract 3, 60 more and I will get minus 3. 40. This is Michael Terminal angle here. These are my answers for the be part

I have to find the Quartermaine. Langella's here on the angle that is given to me is minus 4. 20 degrees is minus 4. 20 degrees is minus 4 20 degrees. So how did I reach them? First I walked 3 60 degrees in 19. Sorry. In the clockwise direction. And then I walked 60 degrees more. They So this is minus 4 20 degrees. I want to find the Quartermaine language, which means that I'll add or subtract 3. 60. Because after doing so, I will reach out my initial position. If I travel 3 60 degrees, I would least at the same terminal array. Right? This is my initial position. Okay, So in order to find a positive go terminal angle if I add 3 16 If I add 3 62 4 20 minus 4. 20 I'm getting minus 16, but this is still negative. So let's say that this is my negative terminal angle minus 60. And if I want this to be positive, I'll add 30 61 more time, So this will be 300 degrees. These are my co terminal angles in the first case, and in the second case, I have to 30 degrees. Okay, impact be. I have my feet up as 230 degrees. This is 230 degrees. Okay, So now if I want a negative co terminal angle, I just keep on walking 3 60 degrees in the clockwise direction. So I will subtract 3, 60 degrees. And if I do that, I get this is minus 1 30 degrees. This is my first call terminal angle. And the second one is, if I want a positive terminal angle, I just add 3. 60. So if I are 3 60 I get 5 90 degrees. These are my two quote terminal angles in this case.

So we're given that, um, angle 1 40 diggers and were asked to find two angles that are cold terminal with 140 degrees. So what does it mean to be called terminal core? Terminal angles, air. Basically anguish. Angles have the same initial side in the same terminal inside and duster said to be co terminal. And so to find an angle that is co terminal what we that is called terminal with a given angle. What we have to do is we have to add a multiple of 3 60 degrees to the original angle. And so one angle that might be co terminal code terminal would be simply off 140 degrees. Sorry, I don't know. Just be 100 and 40. Sorry with that or no way is doing that. Um, And there we go. Um, would just be 140 degrees plus 360 degrees. That's 1/4 minnow angle. Another co terminal angle could just be, ah, 140 degrees plus two times, 260 degrees. So just another multiple and interviewer multiple, 360 degrees. And so what is economical for 140 plus 3 60 is going to be 500 degrees and ah, 140 plus two times 360 degrees is going to be 860 degrees. And so those are two coal terminal angles. In reality, you confined an infinite number of coal terminal angles. All you have to do is keep adding integer in digital multiples off 360 degrees to the original angle. Um and so those are two co terminal angles, those air two angles that are called Terminal with 1 40 degrees. And so those That's the answer. And I So let me just make that clear these two over year, those are answers, so I hope this up for


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