Sangha Mok 2, Lung Ding Do Hoc, and Dong Lai Kung Chol. So, let's talk about the angle meter. The angle meter that we use from the second level is the degree.
The angle meter that we use from the second level is the degree. The degree of 1 degree is equal to 1 divided by 180 degrees. The degree of 180 degrees is the degree of 180 degrees.
The smaller the degree, the more the degree is, including the minute and the second. one degree equals 60 minutes and one minute equals 60 seconds I will write down the frequency of the pen and the second Now we will go to a new unit, the Radial unit. Now I observe the circle, the O-axis and the R-axis.
Above it, we see an AB red curve. Let's do the following action. is that the length of the AB column is equal to the length of the radius of the circle.
So it is equal to OA and equal to R. If you cut this red line and pull it out, it has the length of the radius. Then the AOB column will have the measurement number of 1 radian.
So the number of the number of values is the value of the number of values. and the length of the curve is equal to the radius of the circle. We have to remember that the curve with the length equal to the radius of the circle is the curve with the measurement of 1 radian. We say that the curve AB with the measurement of 1 radian if the length of it is equal to the radius of the circle and the measurement of the curve AOB with the measurement of 1 radian is RAD. Come, let's get ready.
So, as I said, there is a long and wide angle. The measurement of the same value is a gradient. Now, let's find the relationship between this new gradient and the old gradient. The relationship between degrees and radians Now we can listen to the explanation, then we will write the formula The length of the circle is the length of its axis. The axis is equal to 2πr.
I have learned this in the second grade. So, 1r is equal to 1r. That is, every circle with the number 1r is equal to 1r.
So, the length of the circle is 2πr. will be equal to 2π radian. But the whole circle is not equal to 360 degrees, right? So 360 degrees is 2π radian.
From that, 1 degree will be equal to 2π. 360 degrees is the whole circle equal to 2π radian. From that, 1 degree will be equal to 2π divided by 360. 2π divided by 360 is π over 180. So this is the relationship between degrees and radii. It is 1 degree equals pi over 180 radii. In other words, 1 radii equals 180 divided by pi degrees of each island.
Right? Degrees equals pi over 180 radii. And 1 radii equals 180 over pi degrees. I just need to think of the formula for the equation. Note that when writing the measurement of an angle in the radius, people often do not know what radius is behind.
For example, the angle is pi over 2, then you will understand that pi over 2 is the radius. So note that when writing the measurement of an angle in the radius, people often do not know what is behind. If it is a curve, people will write the curve above, but if it is a radius, people will not know what it is.
Do you want to sit down? Have you studied a little? Do you like to chat with the teacher or do you like to chat with your mother? What do you want to eat?
Do you want to send me a video of what you want to eat? And that's in Washington, yeah? Washington, huh? We will stop right here. Let's see the curve of the curve.
The curve of the curve is a curve with a center, a corner, and a slope. The 3-point-1 is a straight curve with the direction of rotation. The time-period ratio is the radius and the time-period ratio is the sound. In that, point A is the negative point of the selected ratio. To represent an angle of the angle OAOM, the number is α, this angle will have one side is OA and the other side is OM, depending on the angle's magnitude.
And this point M is the point of the angle of the angle OAOM. Thank you. Thank you. Now let's go back to the example here. In the map, draw the circle of Next, we will determine the point on the circle of the axis with the number of O A O N equal to 7i over 4. Let's take an example.
The result is that the circle of the axis is determined by O A, and the circle of the axis is determined by O B. We need to write the above line. For example, the circle of the axis is determined by O A on the circle of the axis, and the number of O A and B is determined by O B. The point on the circle gives us the measurement of the angle of the OAUM angle of 5.4 and the angle of the OAUN angle of minus 4. Now I will take a break and let you guys see how to do it. Thank you.
This is the value of 5Pi over 4 is the angle of the mirror The angle of the mirror is the angle of the mirror 5Pi over 4 is the angle of the mirror I will divide by Pi over Pi over 4 When you turn to the point where you are stopping, that is, turning to Pi 180 degrees, you have to turn more, right? Turn more, turn more, this angle is 90, turn more Pi over 4, that is, turn more 45, the first direction is Pi over 4 is 45 45 means you have to turn, right? That is, Pi plus Pi over 4 becomes 5 Pi over 4 So this will be the opening point of the picture You have to have a name to represent the angle of the skin.
But you have to have a name like that so that people know the angle of the camera. And then you can see the way to represent the angle of the skin. The baby is learning.
So next time you go to school, you have to have a compa. The baby's picture is too big, it's too big. I know you're a little sick, but I'm not going to be a dog. The first thing I do every time is to check the cost of tuition by the amount of money I have spent.
But this year, I will close the fee. The center will be in the middle of the exhibition. Then I will send the book to the students and the parents. The center will be in the middle of the exhibition.
Then I will send the book to the students and the parents. The center will be in the middle of the exhibition. Then I will send the book to the students and the parents. The center will be in the middle of the exhibition. Then I will send the book to the students and the parents.
The center will be in the middle of the exhibition. The center will be in the middle of the exhibition. This is a very important piece of art.
If you are a beginner, you will have to work harder. You have to work harder and I will also mention the group of Mr. Huynh Next, we will perform the second corner minus 7Pi over 4 minus 7Pi over 4 minus 7Pi over 4 is the opposite The measurement of OA minus 7Pi over 4 minus 7Pi over 4 means it is the opposite Then we will see that 7Pi over 4 it will be a little bit more it will be 2Pi So we will add 2pi to 1pi over 4 So we will do it like this Start from here Still OA From here to here is pi 7pi over 4 We will analyze it into 3pi over 4 plus pi That's it So pi is here This is the battery. We have to turn this way.
This is the battery. Add 3x4. Add 3x4. This is 3x4. Add 90. Add 135. 3x4.
That is, 135. 135. That is 90. I will write it down. That means we will turn to 90. I'm going to turn it to 4.5 again. It's going to be 180. 90 more. Right? And 4.5 more.
If you have a low value, it will be easier to turn. 180. 180. 3x4 is 135. 3.5 is 90 degrees, and 4.5 is 45 degrees. That means it's only 2 mi away from the 45 degree angle.
So, 2 mi away from 4 is 4 mi. 4 mi away from 4 is 45 degrees. It stops at the angle of the camera.
This is minus 4 mi. Now, Hello, I'm Mr. Phuong Phuong. I'm Mr. Phuong Linh. I'm Mr. Phuong Linh. Yeah.
Yeah, I believe them. Now continue to make the second half This 11th is the first part, you will learn the basic and the price because it is difficult When we have mastered these exercises, the next exercises will be easier to learn. The angle of the angle of the angle is very strange for us, right?
In the previous stage, we could not learn it. Here is the direction of the angle. The angle is divided into pi and 3pi over 4. Pi is one circle, and 3pi over 4. These are all the books of the Gamma. Let's go to the class of acting.
Let's see who does it right. Wrong, right? If you are wrong, you can remember. Just act this way, okay? Cut it out like this.
Thank you. Thank you. Thank you.
Thank you. 13Pi over 4 can be written as 3Pi over 4 plus 3Pi 3Pi plus Pi over 4 13 over 4 is 3 minus 1 We can do it like this I will rotate the circle around 1.5 13pi over 4 I write 3pi plus pi over 4 First, I will perform P4 first P4 is the angle of the first quarter I will show you If you turn it half, it will go to the other side If you turn it half, it will go to the other side Please re-draw the video for me to see First, I will perform the P4 first First, I will perform the P4 first Here is the P4 From here to here is the P4 Right? Then you have to rotate 3pi, that is, rotate 1 circle down.
This is the point here, this is the 4th point. This is the 4th point. Start 1 circle, circle down, circle down to here, right?
The old road is just a road that lies here. Yes, 25 I understand the angle of the angle of the minus 4.20 Let's see if it's right Do you understand? Thank you. Now, after the long period of making the vials, we are going to make Thank you. 420 420 must be compared with 360 this one will be 360 plus 60 minus What do you want?
I will show the 60 degree angle and then I will shoot another round I will print the book It's just right 7.5mm is a book I will print the book 60 will be at the 2nd part of 3 The 90th cube is divided into 3 parts 1 is 30 However, we have to draw a line below Here, subtract 60 Now add 360 We will turn right 1 circle Let's go to the wall Now, let's look at the horizontal values of the angle of the back. Here, I am going to use this point to analyze. We have a circular line, an angle, and we have an angle of the angle OAOM, the line of the angle with the measurement is the angle of the amplifier.
And here, the point B is its point of expression. So how to calculate the amplitude of the amplifier, the power of the amplifier? We point the point B down to the center, we get the angle of the amplifier. We point the point B down to the center, we get the center.
The point M is called XI. So, the rotation of the point M is the inverse code. And the amplitude of the point M is the inverse sine. I write the red line. For the point M to have the XI rotation, I write this line.
Then I write the red line. X is the inverse code. Y is the inverse sine. And tan is the inverse sine over the code, which is Y over X. So, we get X is zero.
And tan is... post.c and x.y to get the function. So, we have 4 red characters. Thank you.
So after this, people still call the circle a circle and the center is the center of the circle. Tung Hoang Sin Coat Tung Hoang Sin Coat Tung is the symbol of Sin Hoang is the symbol of Coat Attention! The name Tung is the symbol of Sin Hoang is the symbol of Coat Please pay attention first And from the meaning, we infer that sin and cos are determined with all the values of α.
The definition of sin and cos is always correct with all the α values. sin and cos are determined with all the values of α. Next, let's look at the second point on this screen to explain.
The alpha sine will run on the axis of this particle. It runs from B' to B. So B' will be at the position of 1. B will be at the position of 1. Similarly, the alpha code will run in the direction of the horizontal axis. It runs from A to A. A is equal to the value of minus 1 because this circle is equal to 1. And A is 1. So the code goes from minus 1 to 1. And sin is also from minus 1 to 1. This is its value.
It is always determined. The second equation is minus 1 minus sin , minus 1. The code is also the same. Now, let's explain the following.
Why is C53 plus K2P equal to C53? Why is K2P there? Actually, the previous day, it was there, but you came later, you came later, we noticed why it was there.
The reason is that, I will explain to you later. For example, this is an alpha quantum angle and the point M is its representation. However, as we have learned before, the point M not only represents the alpha quantum angle, but also represents the quantum angles over a number of times 360, that is, 2. You The value of alpha is alpha plus 2pi.
Alpha plus 2pi means that we will rotate 1 circle. So it is the position of the circle. For example, the value of alpha plus 4pi is the position of the circle.
So all the angles of the space are the same, the whole number of 2pi. the middle point is the M point. The M point represents an angle, an angle, an angle, an angle, an angle.
Because they are the middle point, their sin must be the same. Because their sin is the magnitude of the M point. Yes, and their curves are all in the form of the same degree of curvature. So, the reason why the two values of sin and sin are the same is that sin is equal to k2 and sin is equal to k3.
sin is equal to k2 and sin is equal to k3. Next, we will test the Now let's go to the next video. Why does the alpha increase determine that the alpha is different from the 2nd equation?
The alpha increase is equal to sin alpha divided by the alpha. So the alpha increase will determine when and only when the alpha is different from the 2nd equation. Right? The formula must be different. So let's look at the square on the graph to see when the code will be different.
Then we have two places where the code is not true. The point M is here, then the point around it will be 0. Now, the point around the code is true. And another point M is here.
So we have two positions. Now, this position is phi over 2, and this position is minus phi over 2. However, as I just said, This M1 does not represent P2, but P2 plus K2, right? It must represent the family. And this one must be minus P2 plus K2V, right? However, these two can be combined as one, and it becomes P2 plus KV.
Why? Because these two are in the same angle and the circle is divided into two equal parts. The circle is divided into two equal parts, so I only have pi on the left and k on the right. If these two are combined, I will get pi over 2, kpi. I will explain more carefully.
If K is white For example, k equals 2, k equals 2, then it will be pi over 2 plus 2 pi. Then pi over 2 plus 2 pi is not correct, it is not the point of color. But if k is 0, for example, k equals 3, k equals 3 is minus pi over 2 plus 3 pi, minus pi over 2 plus 3 pi. Right? Or pi over 2 plus 3 pi.
Pi over 2 plus 3 pi, then it will be turned like pi over 2. 3P is the rotation of the circle in the middle Here, can you see it? So if K is white, it will be at the M1 position And K is flat, it will be at the M2 position So these two groups are one And here it is written that P2 plus KP Flat will be at M2, and white will be at M1 Next is cotang, cotang is the code on sin, so sin must be zero, then cotang will be determined. Now let's see how sin is zero.
The point is where the SIM is, the SIM will be zero. Here, zero, right? What point?
Here, Pi, like this. Like these two points, right? These are the two points that have the same frequency as zero. Because the SIM will be the same frequency. Like these two points.
It makes sin equal to 0. This is 0 plus k2pi. And this is pi plus k2pi. But these two are also related to each other in the equation, so it is just kpi.
If the k is white, for example, the k is equal to 2, then 2pi will be this one. 2pi, but I will rotate it one circle. This is 2P, right? 2P, right? If K is equal to 3, then 3P, 3P, then what?
Then what? Then what? 9 to the 2nd.
So it's the same as above. 0 to the 2nd, and 100 to the 1st. That's the result. Why is it like that?
Then you learn it. Tang determines V alpha is different from Vg2. Tang determines V alpha is different from Vg2.
This is the name of the place. On the board, there is a special treasure. I like this a little. I will remember it later.
If not, I will show you how to remember. We have 3 small angles that are commonly used P6, P4, P3 And 0 and P2 are 2 special angles Actually, 0 and P2 Is it done? If you don't have P2, you can press the machine Or we remember by the previous angle selection Now I will show you the three small angles. PN6, these three angles are very good values. The angle of the angle is 2. The angle of the angle is 2. The Can you see it clearly?
The code is less. Can 3, Can 2, it's less. And the tang, tang is just the sin over the code. If you divide this by 1 over Can 3, tang is the tang of Pi N6.
Do a lot of this, you will get it right. And tang of 4, 5, you take the word of it. Tang of 60, you take the symbol of it. It's easy to remember. 1 Kanban And Kotan is opposite The first letter is opposite Kanban 1 1 over Kanban And this is the point I just explained Tang and Z is not definite It is pi over 2 This is the explanation Not definite And Kotan is not definite It is 0 There are 2 places that are not definite This table is in my book I think it's cool If you forget to press the computer button, it will not show up.
When you press the computer button, you have to pay attention to how you change the unit. For example, now you want to change the unit. Click on the 60 sign, we will put the unit in the D column, which is the hole.
Click on the 60 sign, the table will be 3 over 2. Now I want to click on the Radian, I have to do something. I will change the unit to Radian, click on the menu, I will go to the second column, the corner unit. And then I will change it to the second column, the Radian mode.
Now let's go to the camera Camera 4C 60 means shift pi divided by 3 Right? For example, if we press 3x2 3x2 will tell us I just came to the bookshelf, I just transferred it Shift pi to press it to tell us The second part is that it is not You have to do it to make it smooth and then you can keep it fast. Let's take a look at page 10. This is the exercise for students to be able to do the basic level.
Let's take a look at page 10. This is the mark from question 1 to question 28. Question 1 to question 28. Page 10 to page 12. Yes. Question 1 to question 28. This is the exercise for 4 subjects. Next is the correct and wrong test. The correct and wrong test is in page 22. There are two parts. Part 1 is the same as the lesson we learned, and part 2 is the lesson the next day.
I made 10 correct and wrong test questions in page 22. Now it's clear, so it's easy. You can write it in the cover, but it's easy to find. The correct and wrong test is 10 questions, page 22. You can do it. If you can't do it or if you make a mistake, it's okay.
You should know what you did wrong. If you don't do it, you will be in trouble. You will know that you did something wrong. Now, let's take a rest.