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Maths Tutorials, Geometry and Trigonometry. The Law of Sines (also known as the Sine Rule) is a method for working out the angle or side length in a non right angled triangle. For more tutorials, visit 🤍vcefurthermaths.com Song: "Mining by Moonlight" by Kevin MacLeod (incompetech.com). Used under creative commons.
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This trigonometry video tutorial provides a basic introduction into the law of sines. It explains how to find the value of the missing side of a triangle or the missing angle. it explains how to solve AAS and SSA triangles using the law of sines formula. It helps you to tell if the triangle has one solution, two solutions, or no solution. This tutorial contains plenty of examples and practice problems. New Trigonometry Playlist: 🤍 Access to Premium Videos: 🤍 🤍
Not every triangle is a right-angle triangle, so we can't always use Pythagoras and SOHCAHTOA to find missing sides and missing angles. We instead use the sine rule or the cosine rule. They can both be used to find either missing sides or missing angles in any triangle (right angle or not). We label the sides as a, b and c, and angles as A, B and C. We need to work out whether to use the sine rule or the cosine rule. The sine rule is easier, so look for that one first. The sine rule is based on opposite pairs: you need an angle and the side opposite it, then you need either an angle and you want the opposite side OR you need a side and you want the opposite angle. If we don't have the right combination of sides and angles for the sine rule, then we can use the cosine rule. For the cosine rule, we either want all three sides and to be looking for an angle, OR we need to have a side, angle and side all next to each other, and to then be wanting to find the third side. SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT. VISIT us at 🤍fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Find all of our Chemistry videos here: 🤍 Find all of our Biology videos here: 🤍 Find all of our Maths videos here: 🤍 Twitter: 🤍 Access a deeper Learning Experience in the FuseSchool platform and app: 🤍fuseschool.org Follow us: 🤍 Friend us: 🤍 This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: 🤍 ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info🤍fuseschool.org
In this video we are going to discover what the sine rule is and how it works. For right angle triangles, we can use Pythagoras and SOHCAHTOA to find missing sides and missing angles. However, not every triangle is a right-angle triangle. For non-right angle triangles we have the sine rule and the cosine rule. The sine rule can be used to find either missing sides or missing angles in any triangle (right angle or not). The sine rule is based on opposite pairs - an angle and the opposite side. We therefore label sides as a, b and c, and angles as A, B and C. We can then simply substitute in the values to find the missing side or the missing angle. If we're looking for a missing side, we use the formula (a / sinA) = (b / sinB). Whereas to find a missing angle we use (sinA / a) = (sinB / b). SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT. VISIT us at 🤍fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Find all of our Chemistry videos here: 🤍 Find all of our Biology videos here: 🤍 Find all of our Maths videos here: 🤍 Twitter: 🤍 Access a deeper Learning Experience in the FuseSchool platform and app: 🤍fuseschool.org Follow us: 🤍 Friend us: 🤍 This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: 🤍 ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info🤍fuseschool.org
The Law of Sines (also known as the Sine Rule) is a method for working out the angle or side length in a non right angled triangle. Trigonometry lessons from the mathiest math channel - the tecmath channel! To support free math by tecmath on Patreon (thankyou): 🤍 To donate to the tecmath channel: 🤍 To donate to the tecmath channel: 🤍 To support tecmath on Patreon: 🤍 To buy tecmath mechandise: 🤍
Powered by 🤍 This video is a tutorial on Sine and Cosine Rule. Please make yourself a revision card while watching this and attempt my examples. Straight away then move to my video on Sine and Cosine Rule 2 - Exam Questions 18. This video is for students attempting the Higher paper AQA Unit 3 Maths GCSE, who have previously sat the foundation paper. Explanations are aimed at being as simple as possible and so students who previously did the Foundation paper can access. They would also be useful for students who have always sat the higher paper. 🤍hegartymaths.com 🤍
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Learn how to use the sine rule to find missing lengths of triangles. Practise example questions that could come up on your exam. Use an easy trick to find sides easily by flipping the sine rule! Feel better about your maths exam at 🤍 Pinpoint exactly what you need to revise! Other advanced trigonometry videos! Use the sine rule to find missing angles: 🤍 Use the cosine rule to find missing sides: 🤍 Use the cosine rule to find missing angles: 🤍 Use trigonometry to find the area of a triangle: 🤍
Learn how to work with the law of sines and the law of cosines in this video math tutorial by Mario's Math Tutoring. We discuss when to use the law of sines and law of cosines as well as going through 4 unique examples. We discuss how to solve for the missing side or missing angle in a triangle. Related Videos to Help You Succeed: Ambiguous Case Law of Sines 🤍 Take Your Learning to the Next Level with Me!: Subscribe to the Channel 🤍 Get my Learn Algebra 2 Video Course (Preview 13 free video lessons & learn more) 🤍 Learn Algebra 1 Video Course 🤍 Looking to raise your math score on the ACT and new SAT? Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at 🤍 * Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) 🤍 Support Mario on Patreon here: 🤍
Learn how to use the sine rule to find missing lengths of triangles. Practise example questions that could come up on your exam. Use an easy trick to find sides easily by flipping the sine rule! Feel better about your maths exam at 🤍 Pinpoint exactly what you need to revise! Other advanced trigonometry videos! Use the sine rule to find missing sides: 🤍 Use the cosine rule to find missing sides: 🤍 Use the cosine rule to find missing angles: 🤍 Use trigonometry to find the area of a triangle: 🤍
In this tutorial I show you how to find a length of one side of a non-right angled triangle by using the Sine Rule. You can do this if you are given the opposite angle and another side and the opposite angle. YOUTUBE CHANNEL at 🤍 EXAMSOLUTIONS WEBSITE at 🤍 where you will have access to all playlists covering pure maths, statistics and mechanics. 🤍 NEW INSTAGRAM: 🤍 TWITTER: 🤍 THE BEST THANK YOU: 🤍 FOR MORE HELP PLEASE VISIT 🤍
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Let's In this video, we see what the formula for Sine Rule is and it's proof. First, we understand why we use Sine Rule and Cosine Rule. Then, we discuss the formula for Sine Rule and how a triangle looks (what is a, b, c, and A, B, C) After that, we prove the Sine rule for all 3 cases - Acute Angled Triangle - Obtuse Angled Triangle - Right Angled Triangle Then, we do two examples on Sine Rule so that you know how to use it. So, keep your Pen and Notebook ready... write the Video Name on Top and start doing the questions! On Teachoo, We have explained all the questions of Class 11 Maths Chapter 3 - Trigonometry, including NCERT Solutions of all Exercise Questions as well as Examples and Miscellaneous Check it out here - 🤍 For Solutions to all the Maths Questions of Class 6 to 12, please check our Maths page - 🤍 Follow us on Instagram - 🤍 0:00 Intro 0:28 Why sine rule or Cosine Rule? 1:02 Sine Rule 2:45 Proof of sine rule 3:45 Proof for Acute Angled triangle 6:02 Proof for Obtuse angled triangle 8:19 Proof for Right angled triangle 9:24 Let's do some example 12:17 One more Example 14:53 What next?
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Hello everyone, join us as we learn how to prove The Sine Rule with examples of how to understand and answer the question in an exam. Enjoy this video and don't forget to subscribe, if you've already subscribed, thank you. #sinerule #sineexplained #thesinerule Check out The Cosine Rule video: 🤍 Join us for a conversation: Facebook: mathsyasemzansi Twitter: MathsYaseMzansi Instagram: mathsyasemzansi
This video shows you how to use the sine rule to find unknown angles in a triangle. This is part of the extended (or higher level) curriculum for GCSE / IGCSE. #GCSEmaths2022 #IGCSEmaths2022 Transcript: This video is going to use the following exam question to teach you about the sine rule, which is sometimes called the law of sines. So in this question we’re asked to use the sign rule to find the angle ACB, which is the angle here. Now, the sine rule can be used on any triangle (i.e. not just right-angled triangles, like some of the triangle laws) providing you know one of the angles and the length of the side opposite that angle. And when this is true we can find the size of an unknown angle providing that we know the length of the side that is opposite. When this is true we can use the sine rule, which is as follows. So the sine rule states that the length “a” divided by the sine of angle “A” is equal to the length “b” divided by the sine of angle “B”, which is equal to the length “c” divided by the sine of angle “C” Note that the length is always opposite the angle, so length “a” is here because it is opposite angle “A”, and length “b” is here because it is opposite angle “B”, and so on … One thing to note is that you never need to use all of the sine rule. For example, in this question we do not know angle “A” and length “a” so we can ignore this part of the sine rule and just deal with the parts containing “b” and “c”. So when we get to this stage we simply input the information that we know from the diagram. So we know length “b” and length “c”, as well as angle “B” and we want to use this equation to find angle “C”. Now this requires some rearrangement to get to the final answer because the angle we want to find is in the denominator (i.e. on the bottom of the fraction) and we need it to be in the numerator at the top. Now we can make this change using the algebra rules you will find in my other videos so if you don’t understand the steps that I show you next it might be a good idea to check out my other videos. However, here we’re in a situation where we can cross-multiply, so these two values can be swapped to give the following, which results in the unknown angle “C” moving to the top, as required. To get angle “C” on its own we multiply both sides by the sine of 84.3 degrees, which has the result of moving this sine value here leaving the sine of the angle “C” on its own. We are now very close to finding the size of angle “C”. If you use a calculator to work out the right-hand side, you will find that the sine of C is equal to 0.327 something And if we take the inverse sine of this value we can find angle C, and your calculator should show you that this is 19.142 something … If we round this to three significant figures we can conclude that the size of angle C rounds to 19.1 degrees. So we have therefore used the sine rule to find the size of an unknown angle. It is my hope that this helped. Subscribe if you’d like more and press like and share if you’d like the video to reach other students. All the best.
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In this video we discuss examples of the sine, area and cosine rules used in trigonometry. As you learn how to do Mathematics - these simple trigonometry skills will help you improve your High School Mathematics results. Subscribe: 🤍 Check out our Trigonometry Playlist for more: 🤍 #Mathenatic #Trigonometry #highschoolmaths
0:00 Introduction to sine rule 2:14 when to apply sine rule 3:47 example 1 13:46 example 2 Practice Questions: 🤍 an explanation, with examples, of the sine rule and when to apply the sine rule in further trigonometry of O levels CAIE and IGCSE #olevelmathematics #OlevelMath #olevelmaths #IGCSE #GCSE #FurtherTrigonometry #SineRule
We've just covered the Sine Rule, time for some examples! We look at finding sides, which in the scheme of things is pretty straightforward, then look at finding angles. The special case, the special case! Always check your two cases when using the Sine Rule to find angles!
This video explains the sine rule with examples on how to use it. Thank you to those who keep funding me via 🤍 for supporting the production of these videos. law of sines. noun, Trigonometry. a law stating that the ratio of a side of a plane triangle to the sine of the opposite angle is the same for all three sides. 2. a law stating that the ratio of the sine of an arc of a spherical triangle to the sine of the opposite angle is the same for all three arcs. this video shows how to use the sine rule #Physicsmaths #Physicsmaths #trigonometry