Sine and Cosine Laws When do You Use Each One

[@Stephen-ie7uq]

So comprehensive and quick paced. No humming and hawing. Exactly what a tutorial should be.

[@noblevenom2858]

thank you so very much,even after 10 years you're a lifesaver. I was able to get a 62% on my test and passed so now i dont have to redo the course in the summer, appreciate it.

[@mlghitler251]

this saved my ass man I got an 97 % on my math test thanks

[@AlRichards314]

Hey, glad my video helped. Thanks for the comment.

[@jhonvlog2720]

Naoll

[@jt1174]

Very definitive, clear and easy to understand. I was having a lot of trouble figuring out when to apply each rule, now iv'e got it sorted. Absolutely ripping! Thanks!

[@bensvab6219]

I'm in grade 10, u saved me from this, I was away for a while and didn't understand anything about this, I got an 80% on my test because I watched this until I got it, thanks, thanks and thanks again

[@AlRichards314]

Hey Ben, thanks for the comment. I really appreciate hearing from people that find my videos help them understand some math. You sound like someone who has figured out how they learn best. Good on you for the effort you put into this and the success you have achieved. Take care, Al.

[@aidasolaty5505]

This is so helpful!! Thank you so much, I’m starting my math mock exam in an hour and I managed to understand the law of sine and cosine properly because of this video

[@Grwmtiktoksonly]

Same

[@Bentami]

Have an exam tomorrow and this really refreshed my knowledge on the laws, thank you!

[@KyleCarrington]

Your work is beyond excellent Al. And to it, you add a tidiness (presentation) that is not seen elsewhere, which is icing ont he cake. Kudos to you.

[@Zharlbarl]

This was so helpful. I'm in a unique position where I'm teaching a student geometry, and geometry is NOT my subject. We've managed to get through things right up until the curriculum combined Law of Sines and Law of Cosines. What the curriculum failed to make clear was that which law you use can be fluid and that there are multiple ways to arrive at the same solution when you're trying to find multiple variables (I was given an answer key which showed one way to solve a problem). As a result, I was stuck puzzling over why one law was chosen over another in certain circumstances. The Angle-Side Pair idea and the idea of using cosine between two angles was enormously helpful. Above all though, when you used BOTH Law of Sines AND Law of Cosines to find the SAME missing variable was like opening my trigonometric third-eye. Law of Sines and/OR law of Cosines. Depending on the circumstances there are instances in which either law can be used to find one variable. It sounds so simple now, but this blew my mind. Thank you for explaining this in such a way that it knocked me out of my rigidity. Both I and my student will undoubtedly benefit.

[@AlRichards314]

Hi Zachary, thanks for sharing. I enjoy hearing from people that find my videos helpful. One of the beauties' of trigonometry, is once you start finding more sides and angles you get additional ways to deduce other sides & angles. Cheers.

[@jamesmutter4660]

Very easy to follow you explained when and how to use each flawlessly. Thank very much got an A on test

[@XxJ0olie]

Very easy to understand! Great Teacher!! Thanks!

[@homesigns]

I teach trigonometry to seniors in high school. This video is perfect because it's clear and consise. Thank you for posting.

[@fredrikstreamingyt7145]

amazing video man 12 years later😃

[@noemicivicprincess7472]

OMGGGG I CAN NOT THANK YOU ENOUGHH FOR THIS VIDEO I WOULD BE SCREWED FOR MY MATH TEST TOM. IF I DID NOT FIND THIS VIDEO!! Believe me I watched over 100 videos since 9 o clock and it's 12:08 and your video out of all the other videos happened to be like the holy grail!! And now I won't fail my math test tom!!!! Haha!!!! And I was absent for like 2 days and just being absent from math for 1 day every student knows this your technically screwed. So I wanted to say thankkk youu so much once again!! And l do not have a math brain what so ever and this totally helped me! And I got sooo excited when I figured it out because of this video i sent it to all my friends in my grade 11 math class because no one like gets it.

[@AlRichards314]

Hey, thanks for the comment and I'm glad I helped you "get it". Good luck on the test.

[@jamiejeffrey9025]

You definitely explain this much better than most of my tutors. Thank you very much.

[@atalzazai5132]

Mr.AlRichards314 i was clueless on how to do trigonometry until i saw this video, i want to thank you from the bottom of my heart for helping understand what my teacher made seem like rocket science, i will proudly suit up and take my unit test tomorrow, thank you sir

[@AlRichards314]

Hey. Thanks for the comment. I appreciate hearing from people that find my videos useful.

[@nickster200005nc]

Thanks so much for the video. Passed my grade 10 math test because of you :)

[@budmi2356]

THANK U FOR SAVING ME! everything was explained really quickly and easily. LOVE IT!

[@margaretanyango6671]

I’m not gonna lie,this really helped me a lot.thanks for the video

[@brandonwu4352]

thanks for helping me understand this because my teacher runs through each of the lessons so quickly some i get left behind on and overwhelmed

[@trollface1188]

Thanks a lot dude you helped me greatly at my final test in trigonometry

[@yaniktheyoutuber]

kzbin.info/www/bejne/e3XElIqimc5maKc

[@ThePrincessResurrect]

Thank you much I hav been frustrates on not understanding this topic so I appreciate the vid :)

[@ashokanselliah9571]

Great Explanation of the subject. Hugely helpful...

[@lennardjordan5296]

Excellent post. My son is doing this math in school at the moment. Thank you.

[@barelypainter245]

It cleared all my concepts thanks aloy

[@vigmurali6753]

This video is extremely helpful! Thanks so much!!!!!

[@mrpokemon1186]

thank you so much for this! would you be able to do a video on this where I only have the three sides and no given angles? Thank you!

[@AlRichards314]

Hey. Check out this video of mine at kzbin.info/www/bejne/pJDMe2icm95kgM0 that shows how t find an angle when you know 2 sides. It also shows how to use the Sine law to verify that calculation. Hope this helps.

[@AlRichards314]

Yes, the best term here would be "obtuse" since I was specifically refering to a triangle with an obtuse angle.

[@kaconya]

Wow! The way you explained and broke everything down makes it crystal clear to me. Thank you so much! Much appreciated. I'm a subscriber now! :o)

[@AmbarMitraSTEM]

On the first page, when you calculate B by taking inverse-sin, you should get two values of B, 73 and 107.

[@AlRichards314]

You are correct. I didn't show that angle B could also be 107 degrees because my emphasis was on how to know whether you should use the Sine of Cosine Law, not the SSA ambiguity.

[@vincentleegarcia101]

Very, very good explanation. I love it!

[@missdawson161]

God bless your soul hopefully I won't fail my math test tomorrow

[@frecents3438]

@Audrey Henry ik its been three years but did u fail? I have my math test tomorrow.

[@agnostos6378]

@@frecents3438 I also have a math test tomorrow.

[@5uava409]

@@agnostos6378 gl i'm just finishing an exit ticket that's like 3 pages full of work

[@bisanandbrownie4156]

Thank you! This helped with my basic understanding of calcus!

[@danmike2305]

Well done, instructor, thanks.

[@BENDOVER-di4kc]

Extremely helpful man!

[@herbagzrsaggy3388]

superb my trigonometry friend. kudos to you! amazing ecplanation

[@xihlukecc]

Thank you very much 🙏🏾 🙏🏾 🙏🏾 🙏🏾 🙏🏾 🙏🏾 🙏🏾 youve just saved my life

[@marq0758]

you are very easy to understand unlike my teacher THANK you so much.

[@yaniktheyoutuber]

kzbin.info/www/bejne/e3XElIqimc5maKc

[@srudrabhatla]

Great explanation and when they have to be used..Thanks

[@davidlingaard860]

learnable video , i do not have a trig. calculator . so i solve this in autocad 2010. tanks for your help on trig.calculator

[@Lukas-cz5ee]

take in I learned more in the quick 2 minutes about sin law than I have the past two weeks in class.... teacher is just bad

[@AlRichards314]

Hey. Glad my video helped make sense of the Sine & Cosine laws.

[@Lukas-cz5ee]

@@AlRichards314 great vid I have to say do you have any videos on trigonometric functions?

[@AlRichards314]

@@Lukas-cz5ee Yes, I do. Many of my videos are organized here: sites.google.com/view/making-sense-of-math/home Under Trigonometry, go to Graphs of trigonometric Functions and you will find several different ones. Enjoy.

[@Lukas-cz5ee]

@@AlRichards314 thank you so much mane saved me just before my test 💀💀

[@WeLuvYouGreg]

I needed this for my test tmrw

[@selenawright1332]

I have a big test on this tomorrow 😩 how did you do on urs lol

[@liannadangelo9769]

Had my math exam today, this video saved me

[@sher6521]

Love it wow good teacher !!!

[@the_basement_files]

This was a perfect video, thanks! Helped me with my mechanics class

[@fucklettuce8045]

Yo thanks man i appreciate it my math teachcer is always in the way of the board and this helped a ton.

[@hyenaeater3741]

great job man good refresher

[@dermotgeoghegan]

Fab vid, helped me finish a project element. To many vids showing all the other regular formulas.

[@yinellyrodriguez830]

Very well explained!!!

[@monsterjesse]

bravo. concise and comprehensive, thanks much

[@lukaszarkadas1321]

This was really helpful. 🙏

[@helmangarcia6571]

Thanks for the help!!!

[@tyson3425]

Wow I was scrolling through the comments and all I thought to myself was “these comments are all good except the video is going to be just like any other,”but I was completely wrong. Thanks for the help

[@AlRichards314]

Hey, thanks for the awesome comment. Glad you thought it was useful.

[@AlRichards314]

That would be a proof that the Sine Law is correct, but that wasn`t the point of this tutorial. The focus of this video was to show under what circumstances you would use either law.

[@Kadbros]

Great video, what software did you use to draw up the figures and put the equations like that?

[@AlRichards314]

The tutorial was created in PowerPoint. I drew all the diagrams using the drawing tools in PowerPoint. The equations were made with MathType within PowerPoint and then recorded using a screen capture app called Camtasia.

[@krisiaaaxx]

THIS SAVED ME THANK YOU VERY MUCH 🙌❤

[@osmanelmobarik]

Thnxs for the tutorial means alot

[@kdstudios3269]

Thanks for the video. Really helped me!

[@elainewendler2173]

this video taught me better than my teacher did

[@MsShadowlover123]

this was really really helpful!!!

[@mwansacourage9766]

Well articulated..🥰

[@mattspence6106]

very good video for this topic

[@khumbulanimsibi1996]

Very useful man thanks

[@FrickenBeauty]

thank you so much! This helped a lot. :)

[@yorkjazzy]

wow this really helped me

[@NSIII]

Pyrithisis theorem? Hmmm.... never heard of that one.

[@SAGEPRXNCER]

+Nick Shank He meant pythagorean theorem

[@ZarOnly]

I think I might actually pass my trig quiz

[@pranav4285]

did you pass were still waiting

[@ZarOnly]

@@pranav4285 lmaoo I dont know if i passed the quiz but I barely passed that class, I'm in college now

[@makeyouquit911]

what if the cos doesn't make a negative can the answer be a negative answer??

[@AlRichards314]

+Munib Abid You shouldn't ever get a negative angle using the Cosine Law, if that's what you are asking. The cosine of angles between 90 and 180 degrees are negative, although.

[@vvvdd8402]

thank you so much for this! Thanks to your great explanations it all seems so easy now! :)

[@matcha5836]

wow thank you for this!!

[@comradkwaukgames2960]

Perfect thank you so much

[@Bh9876543210]

@4:44 you took the inverse sin of .9556 and got the amount of degrees for the angle, but when I did it on my calculator I got 1.2716... I must be missing something

[@AlRichards314]

Hi. Your calculator is in radian mode, not degrees.

[@Bh9876543210]

AlRichards314 Alright thanks. Great video too; it was very helpful

[@RoxsannePatel]

Bed-Stuy Fly yes the common mistake so many students made(myself as well :P) anytime doing and trigo somes like these, always make sure you have your mode setup in degrees! my friend even freaking failed her paper cuz she forgot :P

[@Sharma-xw6ml]

are the videos from 2006 really helping? Yes, yes they are

[@erniepanim8314]

what an easier, the way he do some of the stuff he did is not complicated

[@arianna2312]

Thanks! Doing some last minute studying (my test is in an hour). Hope I do good!

[@nonorv3095]

Perfect.x thank you so much. I am looking ahead for new videos. Cal 1 , 2 ug whatever may be needed in engineering haha

[@davidlingaard860]

WAW, is this video that old ? the oldest comment is 7 years ago ,the least is 1 year ago, mine is now

[@MegaPinkbat]

wow this is really helpful, thank you!

[@AndreaaBieberr97]

this helped sooo much thank you!!!

[@prodbydlytle]

great will pass my quiz

[@paul1964uk]

7:18 an 'Oblique' triangle is defined as not having angle of 90 - you meant 'Obtuse' (angle is greater than 90) of course.

[@freepilot7732]

Then you never have to use the SohCahToa right?

[@AlRichards314]

SOH CAH TOA can only be used on right triangles. The Sine & Cosine laws can also be used on right triangles, but generally SOH CAH TOA is simpler when working with right triangles.

[@freepilot7732]

@@AlRichards314 so technically what o asked was true nevertheless I see your point. A preference for right triangles is available. Thank you for your help.

[@Allenwake8567]

This helped me thank youuuuuu

[@mariahslambily2438]

this video is amazing. Great tutorial! Are you a teacher? if so I wish you were mine! this really helped me prepare for my exam

[@AlRichards314]

Hey, thanks for the great comment. Yes, I am a teacher. Glad my video helped make sense of the Sin & Cos laws for you.

[@calebkim2958]

THANK YOU! 😃

[@AlRichards314]

You're welcome! Thanks for the comment.

[@enidhutchinson]

EXCELLENT!!!

[@vigmurali6753]

Thank you so much!!!!!!

[@OhDrax9]

Very helpful!

[@ozaamigo3130]

Don’t you need to start with the one your trying to find?

[@AlRichards314]

You solve or rearrange for the unknown you are trying to find. However, by looking at how many unknowns either the Sine or Cosine Law has, tells which one you should use. Having more than one unknown means you should try another option.

[@masonkealy4853]

soo helpful thank you

[@videovideovideohihih]

thank you!!

[@yeayea4092]

Thank you!

[@Xxthegirl101xX]

LOL. The way he says the Pythagorean Theorem made me laugh, but kind of annoyed me too...

[@melkee5061]

what ?> pythayrosis theorem ?

[@babylongate]

how do you know sind/d equals to sin/e ? who said that? why don't you explain first?

[@Jack-et4kg]

Bless up.

[@allanemperado9900]

Thankyou

[@curefied]

thank you so much guy

[@kennethjamero4075]

yeah

[@zarrahosainy1508]

thanks its useful