Okay. Hello everyone. I'm Sophia. This is genuine Malaysia. You will be teaching all handled by the trigonometric. So first we're going to watch a short video to do a little recap about the definitions on the same side of the side opposite. We have seen the formula sine function, sine theta equals opposite divided by the hypotenuse. Remember, we don't write cosine or sine of theta is written as cos of inter. We ignore that I n e theta equals the ratio of this side of the hypogynous into adjacent by hypogynous. Important function is the tangent function. As I said, default, the name sounds very fancy. The formulae are very simple. Tangent of theta is the scan data and that equals the ratio of the opposite, which is this side. This side, I can work damage into sounds familiar is a digital light, which means the circle at just one point. That's correct. But we don't see a line anywhere in the picture. Don't worry about it now. It's tangent in one of our other videos. Just review what we just did. The opposite. Lost heat up a GC, alternate, opposite, adjacent. Alright, so now we're gonna do a quick intro. So in your groups are going to create animosity based on the definitions of the trig functions. So you're going to consider the acronym SOHCAHTOA. Has anyone ever heard of that before? Yeah. So what you're going to do is add another way. What does a unique way to remember? So in your groups, just if you could take out your laptops, that'd be great. And you're going to extract the Jamboard. You can find that either the Google slides are on the test. Just please upload your mnemonic to the Jamboard. Also, add your hand on that and about 4 min we will go with them. That's what it really does everyone know what a demonic is about. Okay. So do you know That's so true? Yeah. You're right. Dr. Yeah. Absolutely. Okay. She signed with you? Again, you're not supposed to create anything. I had to take. Your time. Is your solid. So what group does that? Just put your name on that line, but here it is. Your group name. Would everyone attention apparently, I mean, can you say your name on it? Faster, heavier with other hand. What about j bar? Sarah Homes her car and hasn't two other cases like Kappa, snakes on horses, cats on has toads ordering app or service like observation, salt, great. I hope this was on animals. Very close. Not fast and furious. There was this guy is, it's not coherent. Something orange has political art, hate the other art. Sally on her chiropractic appointments had to open ankles. So now we have to remember the acronym SOHCAHTOA itself. You can take those lessons. Nine. Okay, so now that we call it a variable of the trig functions are going to focus on the three trig functions to problems and real life scenarios. More places anyway, today we're going to focus on, okay, So the first question that we want to look at is how do we know when to use each year you metric. So we're going to look at how we decided we need sine cosine or start with this example. So we have triangle ABC and we're given that angle a is 60 degrees, AC equals five. Side AB is our unknown side. What we use for side a, B could be the opposite side, adjacent side, or the adjacent side, right? Right. What about side AC. Oh, wait, sorry, Great. Okay, So now we have our tradition side and our hypotheses. So which trig function do we know that relates the adjacent side and the top 10 s and then raise your hand. Hi five. Cosine function. Cosine is defined as adjacent over hypotenuse. Now we're going to look at how we would actually go about solving for our unknown side. We have our triangle ABC. Now we replace our question mark so we can solve for this side. So first what we want to do, we want to set up our equation that we have on the left side. So our degrees, so I'm going to write cosine of 60. And on your right corner, or fraction of our adjacent over hypotenuse. So can someone tell me what fraction should be? All right, so now we have our equation set up, so we can just use algebra to solve. So we're going to multiply the five on both sides and we get five because sine of 60 equals x, then we can use our calculator to simplify. You get five times one-half, which is 2.5. We're trying to solve these questions. We're first going to look at what side you're given, decide on our trig function and then set up our equation. Since I don't have any questions before we do. So for this first worksheet activity, which you can find on Canvas, or you can click on the link. You'll be working in your groups are the three questions. When you're doing these problems, make sure you identify your trig function first. Then you can set up your equation and solve it. If you need a calculator, you can just look up calculator on Google and will work. Just make sure you switch it to degrees. And when we are finished answering these questions, each problem will be presented by a group, so you're ready. You're reading books on tape. Wait, no, no. Burden. Burden to bear. That's how we figure out which ones to use. Right, sir. Thank you. Okay. I always wanted to put on weight, So I'm sorry. I'm sorry. I was going to look at Tesla decimal answers. So sulfurs, there was a chicken bone. And Jason is being divided by y times the cosine of the problem or on blast. Are you ready? Let's do one more minute. Mark progress. So you're 13.5. Let's just go over these questions. So I see my number one. Write your solution on the board. You just explain to us why you chose it. Perfect. So Angela says the opposite and adjacent side. And you should get that a equals some number. Can you tell us why you chose sine? Because opposite over hypotenuse. Perfect. So your answer to number two should be 6.3 after using your calculator and one decimal point is not for these questions. One more person for number three. We looked and we saw that Jason, that's a tangent again. So we did this opposite, opposite hypotenuse. Sorry, I looked at the moment. Obviously, Jason speaking in tongues. My mind. I'm sorry. So we've adjacent and hypotenuse, so that's CPU side. So we'd be cosign of 26 equals opposite over, adjacent over hypotenuse. Since the photograph to do 15 times. Cosine of 26, which we said was that white for 13 point for. Now we're going to move on to problem two, real life situation. I'm sorry. Alright, so now you see how trade functions in basketball. So we're actually going to have a real life example. So I'm going to need two volunteers. I don't really mind to choose what they actually do. The example, I'm going to put a visual representation so we can see how we will be using the trig functions. So as we can see, from the distance from Jacob to Eve is the adjacent side and the height of the newborn out to all events is the opposite. When Jacob shoots the ball into the mat, that will show the hypotenuse. And the angle of the shot will be shown right here, which would be the 47 degrees. So go ahead. You just look at a problem. That has to do with basketball and using the trig functions. So just thinking about 20 s to educate yourselves and I will read it to all of you. Okay, So LeBron James is trying to make a buzzer beater shot, but he said in 20 ft away from the base of the vesicle, the anal forms when he shoots. The ball is 63.4 degrees. How high off the ground isn't that? Okay. So first off, can anyone tell me where on the triangle the angle formed when he shoots the ball is 63.4 degrees would go. Does anyone know? Now we also have that LeBron is staying 20 ft away from the base of the vesicle. Does anyone know where that would be? Perfect and you know what that site is called or anyone else if you don't know. The adjacent side? Correct. Okay. So what we're finding is says how high off the ground Today, we're going to denote this as h. That's going to be our unknown variable. Anyone know where that would be on the trial lobe? Where H would go? So he's asking how do I figure out? Correct. Okay. So taking about I'd say a minute or so to work on this with your group as well, come back actually before you do so. You guys just take 20 s or so to figure out what trig function you would use this in your groups, you can discuss it. Okay, So you guys raise your hand and I don't think it's sign raising them. I get sine cosine tangent. Perfect. And anyone know what tangent, the definition of tangent? I'm Tommy. What tangent is? Alright, so take about 30 s to work on this problem and then we'll go over it as a class. You just write it down. Really. Well. Raise your hand and you guys are finished, true? You guys got it. Got it. Got it. Okay. So first off, we're going to do is if we had a, I said before we know that a represents 63.4 degrees. So also said before we had opposite over adjacent. Opposite is age and our adjacent is 20 ft. So by using basic algebra, we would multiply 20 on each side. Each h equals 39.9 ft, which refers to the whole number is 40 ft. Everyone got that? Yes. Perfect. Okay. So now we're gonna work on a worksheet. You can find it on Canvas or in the slides. You just need to remember to draw the picture of the right triangle. Label the sides and the angle and the ratio and salt. Hi, how are you guys? Aren't them? Flourish? And I said that emotional wall motion. That's crazy. It's all right. I thought this was my guess. Yeah. What's the question asking? The draw handler? I get to the areas that we're worried. Yes. Excuse me. Yeah. We're working on that right now. All right. So you're right. I mean to say that negative 0.40 rainy night he that's good. You guys. I forget. If you didn't finish, it's already ready to go there. How can I get somebody come up to the board and do number one, my triangle? I don't forget that. So recite these tangent because we have opposite and adjacent. So what is it that you're trying to find? So the question says, what's the distance between this point? And I answered the wrong thing on the wrong side of the pharynx. And I'm going to use I wanted to focus on in Florida to start the rest of those. Anymore. What is cosine? What's the definition of hypotheses here? It's upside down. So the 15 multiply both sides by x. So it's x equals I don't know if anybody can post. Yeah. So 15 divided by that. He's 19 point. So what I have anyone got anything else? Yeah, that's perfect. Second volunteer to do it over to you, please. So now we're going to go into our final activity. Again here that work in your groups. That's labeled worksheet three. So there's two pages to this. Oligo, the first page, the first two problems and don't go on to the next page for problem three until instructed to do so. Is that what we're doing? And again, doing the same thing like we did previously. I'm trying to picture a very tiny little lake. And here's the one time in wrestler whose mr. Mendelson. So have you guys started? Right. So yeah. It's just straight up today. I don't know. That's what I was telling my triangle. See it, but I feel like I should switch it up and trapping none of us. None of us education majors on earth, right? Yeah, sure. No problem. No. I think you're right. No. Yeah, you're right. Height and weight for Walmart? The operating plan. Okay. Alright. Anyone give me their answer for number one? Do you want to explain how you got that right? Yeah. Obviously reaches 1011400 over x. So I say doing the algebra, it would be 400/11, which is 2015. Yeah. Good answer. Did I won't get anything different. Right. Good job. And then I get a volunteer to give me their turnover. We got 14. Okay. So do you want to explain later? So he did because I'm 60 equals seven over x. And then we eventually get to x equals seven divided by the cosine Theta. And that's how we got x equals four. Yes, good job. They would get a different answer. Right? Good job. Now we're going to move on. Okay, So graduates can scroll to the second page. There's one more problem. This is an individual problem, so everyone needs to write their own response on their own piece of paper. We turned to make sure you put your knee. Yeah. Right. Please take one more minute. Is that enough, everyone? So just to wrap up your last question. When you're done, you can just pile, you're overseas in the middle of your tables and we'll flip. That might be. Yeah. That's all I guess. You guys want to see just like that. Yeah. Good. Okay. So our final activity, now we're just going to go over the steps that we would use to solve a word problem, which is what we've been doing for the entire second half of this lesson. First, we always want to do is read the problem and after, but our problem, what should we do next? Perfect to monitor our triangle and want to label it with our given. And once we have our picture, what can we do? Right? When they decide arbitrary function? And after that, you can write, and now we have our equation, our last step. Perfect. Thank you guys so much for your participation and for listening to our presentation. We hope you learned something new.
Sophia Alisha Jenna Video Camera Version
From Carol Wong December 04, 2022
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