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Law of sines Ambiguous case two solutions

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👉 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.
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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...
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5 сен 2024

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Комментарии : 86

@indigo0012 6 лет назад

I love the kid that goes "How'd they figure out e=mc^2?"

@brianmclogan 6 лет назад

haha

@evanbrant8022 Год назад

It’s a valid question haha

@nikithakikanamada7613 6 лет назад

omg your videos have helped me so much like seriously, im in high math and sometimes the teacher skips over things but i come here and watch your videos and feel more confident about my math skills and how i might be farther away from failing my math final than i think lol thanks so much!

@brianmclogan 6 лет назад

you are very welcome Nikitha! keep working hard and best of luck on your final

@aram5642 2 года назад

Out of many math videos that I have watched this is probably the first one where teacher does the proportion computations in memory, without dabbling division on both sides. And I like this streamlined way a lot.

@spencerjohnson7103 7 лет назад

I really appreciate the way you work through the problems and explain why it works. This has been a huge help, keep up the good work and hopefully I can too!

@brianmclogan 7 лет назад

I will keep making videos you keep working hard

@brianmclogan 11 лет назад

they love to add stuff to my videos

@lucasargandona4658 5 лет назад

"Yeah like how do they figure out e=mc^2?" xDDD

@rachelw198 7 лет назад

Thank you so much! I've come back to this video twice; once when I was learning it, and now for review before my final. Everything makes perfect sense, thanks for sharing!

@brianmclogan 7 лет назад

you are very welcome! happy to be able to assist you with your work

@megangrell9820 6 лет назад

Thank you for saving my grades, your teaching is on point :)

@brianmclogan 6 лет назад

Happy to be able to help you out Megan!

@blakegiles7969 8 лет назад

you are honestly the best math teacher i have ever seen. i wish i had you

@brianmclogan 8 лет назад

+blake giles thank you blake, while I may not be able to be your actual teacher I am happy to help you with all your math online.

@MH0608 5 лет назад

super helpful thank you so much. i love your style and humor, makes it fun.

@loretogutierresjr 9 лет назад

Nice delivery Sir.. now I understand how to solve two possible solutions in your lessons.. This helps me in my studies.. Thank you and God Bless!.:)

@brianmclogan 9 лет назад

+Loreto Gutierres awesome! happy to be able to assist you. Let me know if there is anything else I can do for you

@palasako8732 8 лет назад

+Mr. McLogan's Math Channel "Thats what you were supposed to do on your homework last night" LMFAO busted

@aanika9537 3 года назад

I need this man as my teacher

@jessetoal2787 3 месяца назад

I may be a little late to class but I missed my alarm, turns out class was 11 years ago, bears ain't got sh*t on me man, i'm the hibernating king

@JustSayNatasha 5 лет назад

this method is so quick and so easy to understand omg. thank you so much for this!!

@TheH2OCatalyst 4 года назад

To find the second solution will i always subtract the angle from 180 because it is sin?

@irvinangon8944 5 лет назад

I have an exam in a few minutes I can’t watch all previous videos

@samirkurudi8125 3 года назад

Late lol but how did it go?

@nubiamendoza3758 7 лет назад

you are awesome ! you explain everything so clear !

@brianmclogan 7 лет назад

happy to help!

@AmCanTech Год назад

5:16 interruption ... overall productive video!

@Shazain007 Год назад

Would it be possible that there are two solutions when working with cos or tan instead of sin? Why or Why not?

@israelhurtado8260 5 лет назад

Question: I have seen the law of sins as follows Sin A/a= Sin B/b= Sin C/c . I see you have the side over the Sin Angle. Can you clarify this for me? Thank you!

@lilliasimp6922 6 лет назад

Thank you so much for this!

@brianmclogan 6 лет назад

You are very welcome Catherine

@theodoresweger4948 3 года назад

Very good thanks

@soccer4livingsz 10 лет назад

nice job explaining this. i needed help on the how to find the last length for the obtuse angle and you answered my question.

@brianmclogan 10 лет назад

awesome! let me know if I can help you further

@soccer4livingsz 10 лет назад

Mr. McLogan's Math Channel aren't the obtuse angles supplementary? can't you just find the 105degrees and the 60degrees to find the 3rd angle? 105.79 + 60= 165.79. then, subtract 180 from the 165.79 and you get the 14.21. thats how my teacher taught us and I thought it was a little less work than you're example which was also correct.

@brianmclogan 10 лет назад

yes, I work many different examples in many different ways, you just caught the video where I went through that process

@abdullaal-bader46 3 года назад

thank you for your effort

@evanbrant8022 Год назад

Thanks for the vids brother. Professor in college is crap and doesn’t actually go over half the stuff that is on the tests.friggin crazy wish I had you in high school. (Assume this is highschool class) sorry if that assumption is wrong. LMAO e=mc^2, that’s a valid question though

@MrSlatesq 8 лет назад

Is it true that every SSA triangle will have an ambiguous case where you have to draw 2 triangles?

@brianmclogan 8 лет назад

+Shaff Qureshi no, depends on the length of the two sides

@standardace255 2 года назад

ty daddy Brian

@miranx5735 6 лет назад

Which calculator would you recommend? Mine works back wards

@brianmclogan 6 лет назад

Ask your teacher as it really does depend on your class and tests, but for me I am most familiar with Texas Instruments

@MrDubs 5 лет назад

TI-36x Pro are super nice. like $20... Scientific calculator, automatically pretty-prints.

@mamacrisy 3 года назад

omg ur the real MVP

@zerodigit5948 5 лет назад

amazing sir well done :)

@pranaaviyer2374 4 года назад

How do you know which angles are the ones to minus 180 from, and which angles you have to do something else with. And how do you know which angle stays the same?

@YourBoyDany 4 года назад

Im pretty sure thats related to quadrants

@ceoofpoonis3668 3 года назад

You are an idiot

@SpaghettiRuin 2 года назад

I’m sorry but you have to go back to pre algebra

@rishabhjain6516 6 лет назад

Ur videos are really helpful, but I don’t understand u did 9(sin45.7/sin60) to get 7.43 but u have to do (9sin45.7)/sin60. But for the second triangle u did (10sin14.21)/105. So which one is correct?

@brianmclogan 6 лет назад

check the answer, either direction will not change

@levwrujackson8975 5 лет назад

Thanks for your help, its really been useful, but I have problem converting something like this "54°26" into it, or from it. Hope you'll help. Thanks.

@troncrash7912 5 лет назад

What exactly is the problem? What is the 26

@RaniyaBrockington1missloveness 4 года назад

54+26/60

@samuelsoto1107 7 лет назад

can you solve an AAS?

@brianmclogan 7 лет назад

I have search my channel for AAS I have plenty of examples

@MsAakifa 7 лет назад

how do you know when to use the two solution one? or is it always optional

@brianmclogan 7 лет назад

Always look for two solutions for SSA

@coverwoodshop2334 8 месяцев назад

the environment itself is different, my math class is just quiet and depressing

@AlaniHill 4 года назад

Better video

@oscarskidoo9884 4 года назад

Eish sir ur a good teacher, but ur students though😂😂😂e=mc^2 and Pythagoras theorem... Killed me🤣🤣🤣🤣🤣

@jielu8797 5 лет назад

Why can't we subtract 360-angle or 270-angle? Why does it have to be 180-ange?

@Corzplaysgames 5 лет назад

because triangles only go up to 180 degrees

@mons9974 3 года назад

if you're trying to find the two possible values of angle B (given that it is less than 90 degrees/ acute angle), u have to subtract 180 - angle B, as both are in the first and second quadrant. As the other person said when adding up all the degrees of a triangle it is equal to 180.

@alainlee9579 6 лет назад

so do we always subtracts from 180 everytime we find inverse oh any cases ?

@brianmclogan 6 лет назад

we subtract from 180 to see if there is another possible angle

@skysoldier6408 4 года назад

For case #2, how does c stay 10. It doesn’t make sense in my view.

@skysoldier6408 4 года назад

Oh never mind it’s because b changes therefore c and a can stay the same. Sorry to bother you.

@luisramrod9121 5 лет назад

Im here because of my statics class 😂😂😂

@danparker4404 8 лет назад

Do you always figure out the ambiguous case with the largest angle?

@brianmclogan 8 лет назад

+dan parker yes

@danparker4404 8 лет назад

Ty Mr. McLogan!

@danparker4404 8 лет назад

I'm 43 and love your videos.....I am starting an engineering program and my brain does not work like it did 25 years ago!

@brianmclogan 8 лет назад

+dan parker no worries, slowly but surely everything will come back. Keep up the hard work and let me know if there is anything I can do to assist you

@irvinangon8944 5 лет назад

Soooo this class are not juniors. What are they?