Ambiguous case law of sines two triangles SSA

Подписаться 1,5 млн

Просмотров 655 тыс.

50% 1

👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions, and no solution.
Using the law of sines, we can obtain the value of the angle opposite the second given side length.
Case 1: If the product of the sine of the given angle and the given side adjacent to the given angle is greater than the given side opposite the given angle, then there is no possible solution satisfying the given values.
Case 2: If the obtained angle is greater than the given angle, then there are 2 possible solutions satisfying the given values.
Case 3: If the obtained angle is less than the given angle, then there is only 1 possible solution satisfying the given values.
👏SUBSCRIBE to my channel here: www.youtube.co...
❤️Support my channel by becoming a member: / @brianmclogan
🙋‍♂️Have questions? Ask here: forms.gle/dfR9...
🎉Follow the Community: / mrbrianmclogan
Organized Videos:
✅ Law of Sines
• Law of Sines
✅ Determine 1, 2 or No Triangle
• Determine 1, 2 or No T...
✅ Law of Sines | Learn About
• Law of Sines | Learn A...
✅ Law of Sines | ASA
• Law of Sines | ASA
✅ Law of Sines | AAS
• Law of Sines | AAS
✅ Law of Sines Ambiguous Case 2 Triangles
• Law of Sines Ambiguous...
✅ Law of Sines Ambiguous Case 1 Triangle
• Law of Sines Ambiguous...
✅ Law of Sines Ambiguous Case No Triangle
• Law of Sines Ambiguous...
✅ Ambiguous Case Law of Sines | Learn About
• Ambiguous Case Law of ...
✅ Find the Area of an Oblique Triangle SAS
• Find the Area of an Ob...
🗂️ Organized playlists by classes here: / mrbrianmclogan
🌐 My Website - www.freemathvid...
🎯Survive Math Class Checklist: Ten Steps to a Better Year: www.brianmclog...
Connect with me:
⚡️Facebook - / freemathvideos
⚡️Instagram - / brianmclogan
⚡️Twitter - / mrbrianmclogan
⚡️Linkedin - / brian-mclogan-16b43623
👨‍🏫 Current Courses on Udemy: www.udemy.com/...
👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvi...
#analytictrig #brianmlogan

Опубликовано:

5 окт 2024

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист

Посмотреть позже

Комментарии : 457

@vivianvasquez9355 7 лет назад

Thank you for the help. I guess you could say this saved my SSA for the test tomorrow.

@brianmclogan 7 лет назад

hope so, best of luck!

@metaverseclub5265 5 лет назад

In our school: Angle Side Side spells troubles and means trouble

@elyasrasti8943 5 лет назад

How big is your ssa

@trevorbodnar5495 5 лет назад

Can't believe I never thought of that!

@user-do4tf8yr1n 5 лет назад

same..

@jacopocongiu6917 4 года назад

Brian: Explains in a smart, clear and concise manner without giving 200 problems My Teachers: We don't do that around here

@DynamiteGaming-lw4zo Месяц назад

BRIAN MCLOGAN YOU SAVED MY LIFE I'VE BEEN TRYING TO FIGURE THIS OUT FOR THE PAST 100 MILLION YEARS

@broskyification 7 лет назад

Mckenzie in the background is my spirit animal. So lost and scared

@brianmclogan 7 лет назад

ahhhh sorry to hear, do you have a question I can help you with?

@broskyification 7 лет назад

Not anymore thank you. I learned a little from your videos and from some other math tubers and now it all makes sense.

@brianmclogan 7 лет назад

perfect! glad you were able to figure it out

@fishsauce617 5 лет назад

😂😂

@TimmyTheCool 6 лет назад

Legit wish you were my teacher mine just gives like 200 problems to do on our own and doesn't really teach. You've helped me a lot this semester man 👍👍 Thank you man.

@brianmclogan 6 лет назад

you are very welcome! happy to be able to help

@basedmangoes3379 9 лет назад

Thank you Mr. McLogan. I hope you know that you are appreciated by tons of people all around the world, in a world where our teacher doesn't teach us well enough / we didn't understand it how they taught it, yet your video helps ALOT. :)

@brianmclogan 9 лет назад

Chris Hansen Thank you very much! I greatly appreciate your comments and happy to help out everyone looking for math help!

@wavyymaxgoldie279 9 лет назад

Lol to catch a predator. The professor doesn't even know

@darthgamerONcoke Год назад

I got an exam on Functions and Trigonometry in 20 minutes and I was struggling on Ambiguous Cases. Thanks for explaining this better than any math teacher in my school.

@seaniverse 10 месяцев назад

I wonder how many people look at these right before exams… cause I’m doing the same thing rn lol. 20 til the test too

@thatfamily2917 5 лет назад

I'm in college taking precal and trig, and these kinds of videos on you tube are saving my scholarship. Seriously, thank you! I wish the expensive textbooks students are forced to buy explained things half as well as you.

@cassied9327 5 лет назад

Zoe Shern I feel this in my soul

@5w0rl12 4 года назад

Brian, I'd like to publicly thank you for taking the time to think through your lessons before you give them. You try to make clear each lesson you teach. You come at it at all angles so that all might intuitively understand. I'm taking trigonometry in college, but unfortunately I never took trig in high school. My college trig teacher never gives a model to teach with. He always rushes through and I am totally lost sometimes. To make up for that , I come to your videos, where finally, a clear picture is obtained. I appreciate you.

@kellywyatt4024 6 лет назад

This helped SO much, why can't all math teachers explain it so simply?

@brianmclogan 6 лет назад

happy to be able to help you out!

@hmm6006 3 года назад

Maybe they can't? But yeah if they explained it so simple maybe everyone will love it I guess

@vch8039 6 лет назад

I could actually binge watch these, these videos are oddly so interesting. Our teacher can't explain anything even if his life depended on it, he over complicates things waaay too much. Thank you for the videos!

@brianmclogan 6 лет назад

you are very very welcome!

@UmiGamez 4 года назад

u explain it so well! Im stuck in quarantine, so we have online classes with online HW and no lectures so thank u so much for explaining it so easily.

@xanderfetterman6170 6 лет назад

Just want to say that the way you teach and elaborate helps simplify this material for better understanding. You seem like a great teacher. Wish I could have had you when I took this class. Currently reviewing for the SAT and your videos are extremely helpful, thank you.

@brianmclogan 6 лет назад

you are very welcome! happy to be able to help you out and wish you the best of luck on the SAT

@cosmicpsyops4529 11 месяцев назад

You explain this so much more intuitively and visually than my junior professor, bless his heart. The way you describe it analytically, geometrically, and conceptually goes a long way to helping me internalize this skill.

@vaingloriouscadenza1098 4 года назад

That door hinge example was genius! I was so confused but that metaphor really cleared it up.

@johnjames3155 7 лет назад

I honestly forgot to think that the rule of a^2+b^2=c^2 only involves right angle triangles, until now, you have reminded to do the rule shown in the video to actually find the correct length; you've got my sub. Thanks

@brianmclogan 7 лет назад

great John! happy to be there for you. Let me know if there is anything else I can do to help you with your studies

@youssefmostafa6262 3 года назад

Legit panicking at 5 AM before my exam and this man is saving my life with 15-minute videos. I've been solving triangles for a year now and i just now understood what the hell they are

@lovernotfighter 5 лет назад

That was a good explanation, I really got interested when you drew the circle and showed both the accute and obtuse angles. I learned this in my college years but I like to review and you made it a lot easier to comprehend. Thank Very Much Sir!

@noahwinson8780 3 года назад

Mr.Mclogan, you dont know how easy you put this concept in my brain, thank you sir!!! All the best

@AR-ci6vd 3 года назад

This way is definitely a longer way compared to how they teach us at my school, but this way makes way more sense to me. Thank you

@armystrong12345 7 лет назад

im finishing my my degree for teaching math... over the past hear or so, i have modeled/mimicked some of the things you do in class. thanks!

@brianmclogan 7 лет назад

That is great to hear Lee. Teaching is a great endevour. It is amazing in the 10 years how much I have grown and changed as a teacher. Keep working to always improve, recording my lessons has helped me do that. If there is ever anything I can do to assist you in the future, please let me know. Thanks!

@aayushsheth915 6 лет назад

Thank you so much Mr. McLogan, I am doing an online course, and this really helped alot.... I watch alot of your videos and I just really want to thank you! I am taking the final tommorow and this helped a tonnn. Thanks!!

@brianmclogan 6 лет назад

you are very welcome Aayush! happy to be there for you

@ST-hr4xv Год назад

Thank you so much, I was so confused in class and completely understand now!

@joemama2761 7 лет назад

Wow, you are an amazing teacher who is able to get his point across to the class in a way that is referencing lessons that have been previously taught.... I wish my math teacher could be half as decent. Thank you for giving me a way to receive instruction that appeals to me.

@brianmclogan 7 лет назад

you are very welcome! happy to be able to assist you

@geletaargo2999 5 лет назад

I was totally lost confused when reading the book but after watching this video it is all clear now. Thanks for your help!

@xXLeafEaterXx 7 лет назад

Thank you so much for this video, my math teacher is so awful and he really doesn't explain how to do things. I think he explained how to do ambiguous triangles like this once but very poorly and unlike him you explain the reasoning behind why we do certain things like subtract the angle we solve for from 180 to get the 2nd angle, makes so much more sense.

@brianmclogan 7 лет назад

awesome! happy to be able to help you out

@lizsculli2639 7 лет назад

I have learned this concept a couple of times but no one has ever taught it to me as well as you just did! Thank you!!

@brianmclogan 7 лет назад

happy to hear that! keep up the hard work

@trilogymango 2 года назад

thank for not over explaining and using all confusing mathematical jargon and actually coherently explaining it

@jackchang7933 8 лет назад

Wow! Thank you so much! This helps me so much with understanding the Ambiguous case!

@brianmclogan 8 лет назад

+Jack Chang perfect! happy it made sense

@daltonmaxwell9738 6 лет назад

You're honestly the best math teacher I've ever saw you explain things clearly for some stupid reason I took an online math class and you're basically a teacher thanks so much

@brianmclogan 6 лет назад

you are very welcome Dalton! Happy to be there for you

@jimmabean0 9 лет назад

this certainly helped me through my current trig section i was stuck on. great job breaking everything down so well! thank you for these videos and im going to have to stop here more often for your lectures!

@brianmclogan 9 лет назад

+Alexx Borst teaching trig next week, so more videos to come

@purplepandasrock43 5 лет назад

Making test corrections today after school because i didn’t know how to do SSA or the ambiguous case. Thank you for saving my grade.

@Ncar23 6 месяцев назад

You're a professional teacher that understands where students struggle.

@justinbrown4632 2 года назад

Brian: I am teaching my math class for the first time today thank you for explaining the lesson to me your an inspiration to

@brianmclogan 2 года назад

awesome, wish you all the best

@brianmclogan 2 года назад

So happy to help!!

@elmabaron8797 3 года назад

Muchas gracias por tomarse el tiempo de explicar esto, en serio sus videos son muy útiles y me ayudaron bastante. 🙂

@juthyzaman2675 5 месяцев назад

Thank you, THANK YOU so much for having this RU-vid channel. You might just never know how much you actually help us.

@gogodaniellee 6 лет назад

Thanks for the video. It really helped me review for the SAT. Also a quick shortcut to see if there is an ambiguous case is to look at the angle value of the first angle you solved for. If it is greater than the given angle then there is an ambiguous case.

@brianmclogan 6 лет назад

happy to help and thanks for sharing

@juandiegoparra8889 8 лет назад

You have given me one of the best explanation I could have ever stumbled upon on RU-vid this is beyond informative and I am very grateful! Thank you so much.

@brianmclogan 8 лет назад

+Juan Diego Parra happy to be able to help you out!

@MrSweeneyPlays 7 лет назад

Well structured and helped me with what I needed! Thanks!

@brianmclogan 7 лет назад

perfect! happy to help

@CrossVarietieZ 7 лет назад

Thanks a a lot. Instead of doing the longer method my teacher taught me i used yours combined with Khan Academy to verify that I'm learning it properly. Five hundred million thumbs up dude.

@brianmclogan 7 лет назад

awesome! happy to help

@myagood3942 7 лет назад

Not everyone speaks the same language the same way. It would be nice if students could be matched with specific instructors based upon the assessment of their interpretation. -My professor most likely taught this to me to relay the saaaame exact message, but i didnt understand him, I never do. But you my good sir! ... you and I speak the same language the same way!! I get AAALLL of your videos and they helped me pull through and pick up to speed this semester, your channel is my GO TO channel whenever I don't understand a section and every single time with out failure, I walk away mastering the topic( I feel like I can tutor in the math center at my school sometimes! ) !!! I love your account. thank you so much for your videos and your time! Amazing!

@brianmclogan 7 лет назад

Hi Mya, Thank you for your kind message. I am so please to hear that my videos have been able to help you out. One of the reasons I created this channel was because not everyone learns the same. If my videos can just help a couple of students that makes my day. Keep up the hard work and just so you know I am here for you. Let me know if there is anything else I can do to assist you.

@angelermine2136 4 года назад

im still lost...

@kazukiiimura3015 4 года назад

I’m in eighth grade and I have a test on this tomorrow. Thanks for the help, this taught me a lot

@kadenw8068 4 года назад

Kabuki Man eighth grade? I’m in 11th grade honours and we’re just doing this now

@Scorpen 4 года назад

Kaden Weinheimer lmao same wtf

@Scorpen 4 года назад

Kaden Weinheimer yoo you go to my school 😂

@kadenw8068 4 года назад

Scorpen bruh

@charlie9714 4 года назад

Kaden Weinheimer I did Law of Sine and Cosine in 9th but I didn’t get to the SSA case until 11th

@briebeard3475 Год назад

My teacher had been sick the past week and a half and we don’t have anyone to sub so we’ve basically had to teach ourselves this unit. This was so helpful, thank you 😭🙏

@shayaanmakki5933 4 года назад

Dear Mr. McLogan, My name is Shayaan Makki. Thank you for the videos that you have posted on RU-vid on topics such as Alegra I all the way to Calculus. They were really helpful and helped me understand topics that I didn't learn clearly in class. Currently, I am a 10th grader taking Pre-Calculus Honors and am having trouble understanding the concept of the Ambiguous Case of the Law of Sine for Two Triangles. Can you please explain how to find the obtuse angle for the Triangle and how to confirm whether there actually is 2nd triangle? Thank you. Sincerely, Shayaan Makki

@gangatalishis 5 лет назад

you are a life and money saver, thank you so much. you are the only person know who can explain something so convoluted into something simple

@PlanetNumeracy Год назад

I like how you teach students to get the "h" and compare to a and b to determine 0, 1, or 2 triangles. I'm going to remind my precalc students of that.

@fishsauce617 5 лет назад

I swear this is what's saving my grades. I have my classes in the morning and it's impossible to think and pay attention, these help so much. 👏👏👏

@adamman333 8 лет назад

I love your videos. After watching I don't just understand how to do the problems, I understand WHY we do them that way. Thank you.

@brianmclogan 8 лет назад

+John Forgarty that is exactly what I am looking to teach, thank you for letting me know!

@alyssachartrand5657 7 лет назад

Thank you for this video and all your other videos that continue to help me through my senior year!! You rock!

@brianmclogan 7 лет назад

keep up the hard work!

@jem-lv1ct 2 года назад

I love the way how you teach.... Thanks a lot

@BiscuitBrawn 2 года назад

I was so confused on what to do about the ambiguous case for Law of Sines until I watched this video. I would have been so confused on what to do on my test tomorrow had I not watched this video. Thank you so much!

@brianmclogan 2 года назад

You are very welcome!!

@meijinkawaguchi3876 2 года назад

mans better than austin

@lissderusha 7 лет назад

thank you so much! because i go to a laboratory school, where student teachers are able to teach mostly full time because we are connected to a college, i have a bad student teacher at the moment. she didn't explain this at all. saved me for my test tomorrow!!

@brianmclogan 7 лет назад

sorry to hear about that, but happy to be able to assist you!

@beeyaaa9586 5 лет назад

thank you so much. you really help me understand these trig lessons that my teacher doesn’t teach well.

@---lq7id 5 лет назад

You look like Randy Orton, especially in this particular video

@austinalbus2745 4 года назад

Hopefully he will rko makinzie

@elitelegendarygamer9340 5 лет назад

He is the only person with this content and he is really useful!

@Selichan42_SA 6 лет назад

Thank you so much! This was the one problem type i just couldn't wrap my head around and this helped so much

@brianmclogan 6 лет назад

awesome! happy to help

@SZ-rz8hj 6 лет назад

Thank you so much for making this video. It helped me so much! I am doing so bad at trig, you are the only thing keeping me up. Thanks again!

@brianmclogan 6 лет назад

you are very welcome Salem! happy to be able to help you out!

@trevorbodnar5495 5 лет назад

This video helped allot. I was studying for my final and my textbook is terrible at explaining SSA problems

@amishgupta8794 6 лет назад

Thank You! This helped me with my 9th grade Alg2 Trig Course!

@brianmclogan 6 лет назад

awesome! happy to be able to help you out!

@avocadosnumber498 3 года назад

You're a wonderful teacher. Thank you.

@interloper3347 4 года назад

Everytime I am stuck on a problem in college math I always end up in one of your videos that perfectly explain how to solve what I need. 15/10 man! Keep on keepin on brother, you are the best.

@deborahlim6039 9 лет назад

This helped me a lot. Thank you so much! :)

@jgc9199 6 лет назад

Thanks!, this helped as a good review to understand the little things that confused me

@brianmclogan 6 лет назад

happy to be able to help you out!

@dortoka 3 года назад

You are the reason I will be graduating. Thank you.

@carlost.5495 4 года назад

This has helped tremendously! Hope everyone is okay during the coronavirus pandemic :)

@joeyrogerson83 6 лет назад

This guy is a good teacher, watch and learn.

@brianmclogan 6 лет назад

thanks! happy to help

@AGcrystalclear 4 года назад

i have a quiz on this today and now i feel so much better!!! thank you!!!

@luke-tx4zx 4 года назад

why cant all my teachers be like this. you've saved me on so many tests and now for my exam tomorrow

@claudiaramirez8617 3 года назад

Thank you! You taught me better than my teacher and her videos

@yahirorihuela8757 3 года назад

thanks very much, am having a test in a few days and this helped loads

@notyourbusiness1352 5 лет назад

Thank you, sir. It was a great explanation; clear and understandable. Please do more videos.

@collinyang688 2 года назад

Very helpful! My math textbook explained pretty much nothing compared to your video also I like this format

@joshstone1170 8 лет назад

Mr. McLogan you're my hero!! Thank you so much!

@brianmclogan 8 лет назад

+Josh Stone Happy to help you out!

@ajanaemoore8454 7 лет назад

very ironic, I got stuck on a problem in my precalc book and came here. About halfway through the video I realized you were doing the exact same problem I was stuck on lol. Thanks for the help.

@brianmclogan 7 лет назад

that is awesome!

@Jdawgz532 Год назад

9 years ago and still helpful!!

@buddywu4821 8 лет назад

i missed this on my precalc quiz today, but I watch this so now i will be ready for my test in the future :)

@brianmclogan 8 лет назад

+Buddy Wu happy to help! good luck to you

@GIOVANNI-qh1sc 5 лет назад

Thank you so much! You really are going to save me from my upcoming test!

@sabaamha6216 2 года назад

my trig test is in a couple days this helped alot, thanks

@mechigar_ 2 года назад

Thank you! you explain better than my teacher!

@brianmclogan 2 года назад

You are very welcome!!

@bongwatersupreme6353 13 дней назад

Thanks man, you’re a life saver

@ludvigsteenwitschel6590 4 года назад

After watching this about 10 times, it finally makes sense to me, how there could be 1, 2 or no answers. I'm about to enter High School.

@hydrodio8935 3 года назад

What math are you doing?

@munirsaboor9351 4 года назад

man why you don't use the ambiguous cases properly. it is too simple to recognize the number of solutions. For instance: if

@samiyamohamed5356 5 лет назад

I have an math exam tomorrow!! thank you so much

@Me-sn8qc Год назад

dude thanks so much this helped me with my maths assessment

@valjv5191 5 лет назад

Thank you so much for this! It’ll be easy to remember this, cause of how it’s spelled backwards. Lol, but honestly that’s how I’ll remember! Thank you so much for your videos though! I watched your videos last semester, and this semester as well. Whenever I search help for math on RU-vid, I click on yours over all the others...every time! Wish you were my teacher.

@brianmclogan 5 лет назад

happy to be able to help Valerie!

@bookwyrm8181 Год назад

Thank you 🙏 saved my math grade for this quarter

@ivanyazidi6974 2 года назад

I heard an alarm and was waiting for it to go away for like five minutes. Then I paused the video and realized it was my brother's alarm 😭😂

@fantasticboy9732 3 года назад

Thank you for teaching us Johny Sins.

@gru4810 4 года назад

i got what you did on the board, but I still don't get how to determine if you have 1, 2 or no triangles...?

@charlieyelland7515 3 года назад

perfectly pragmatic explanation! Thank you

@hibenjie Год назад

Thanks - I tried Reddit to answer the question. The first two minutes answered it.

@Selewele 8 лет назад

you're the best thank you mister! videos like this take so much stress off because the explanation is so perfect! thank you for becoming a teacher lol and then filming yourself

@brianmclogan 8 лет назад

+Selenne Martinez it just so randomly happened when I first started recording myself, but happy I did so to help students just like you

@Selewele 8 лет назад

i helped my friends out with the way you taught it rather than how my actual math teacher tries to teach it and they understand it now! it worried us because we have a test this friday but thank to you we can breathe and relax lol