Solving Trigonometric Equations Using Identities, Multiple Angles, By Factoring, General Solution

[@TheOrganicChemistryTutor]

Trigonometry - Free Formula Sheet: bit.ly/47diggI Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

[@Crimson_Thief007]

Where modern textbooks lose rigor, the Organic Chemistry Tutor maintains it throughout all of his videos. This channel is a global treasure.

[@BananaMan-qw2hj]

Why u paying him $30 a month for bro?? He probably already make bank off ads and views

[@sambiscuit6773]

@@BananaMan-qw2hj This man decided to be our mutual internet professor. He deserves everything he gets and more

[@brandonfisher2765]

I've learned more in this 14-minute video than I've learned in the past two weeks in class.

[@A2G37]

I’ve gotten worse I was learning CAST diagram method in school

[@jjmaxman234]

I learned how to do meth with organic chemistry lesson

[@alecaguillard6755]

Y’all get 2 weeks?

[@jaredr9469]

lol we went over this whole chapter in only one hour and a half

[@brandonfisher2765]

@@jaredr9469 nice big guy

[@kingd2101]

Well good luck for me... i need to learn this by myself because of the corona virus

[@kailaine3974]

fucking same. i want to die

[@drterminator5082]

Not very difficult just keep practicing. AS level pure maths 1 paper questions are nice

[@kingd2101]

Well now my teacher post lessons online and i still have my textbook with me for practice . So, i guess im in a better situation.

[@kingd2101]

Kai Laine rip for students like us

[@mathlegendno12]

Good luck, I feel bad, I have a choice to learn this but many people don’t, I do this for fun knowing it will probably save a lot of time in the future.

[@jonezyy7335]

mans saved me in physics and now in pre calc, what a LEGEND!

[@aryathakur8014]

he saved you in physics and precalc. He saved me in precalc too. Wait... But hes an organic chemistry tutor!?!

[@anwarariffin4998]

@@aryathakur8014 he did have organic chemistry videos,so basically he"s got the whole package

[@youtubebudur5593]

@@aryathakur8014 Don't judge any book by cover and don't judge any youtube channel by name. His name is Th Organic Chemistry Tutor but he teaches maths, physics, biology and instead of my f*ck

[@ajesusencounter8261]

Haha having to do this in calculus bcuz coronavirus=I have no clue how to do this, ni one taught me, and now I'm expected to know it like the back of my hand

[@Nawalsamer04]

@@aryathakur8014 he is a genius in anything maths and physics related

[@Crowsinger]

When I was studying in school, I think that I had missed some crucial explanations and I was clueless about how to solve such equations. I barely passed this topic, having memorized some basic formulas and writing them down. Today, at 28 years of age, I decided to look up what I had missed. It didn't even seem hard. Thank you for your work! I had struggled with what was written in the textbook for weeks, but with your video it took me only minutes. Awesome!

[@ishansarang7702]

no offense but what are you learning this at 28 ?

[@maplemayhem1988]

I biggest regret in life is not finding this channel before I was halfway through grade 12

[@parultidkae4924]

bruh same

[@Rt-ck2lu]

I’m doing this topic and I’m in year 9

[@jjmaxman234]

My biggest regret was failing my meth test in 3rd grade it mad me so sad

[@Noble0563]

@@jjmaxman234 Shouldn't have done meth in elementary school bruh

[@pranavswara8814]

Me who found it when I'm 12

[@flashlightwashcloth7283]

I learned more in the first 2 seconds of this video than I did in 70 years as a math professor

[@kaikyalmeida1677]

Underrated comment

[@laneanderson3005]

how tf do people learn this Update: I failed. Twice.

[@captainarc5838]

lane anderson exactly

[@guesswhoami4723]

lane anderson xD i feel you brother

[@christianexpressinc]

😭

[@Terry_berry]

straight up fuck this shit

[@ArthaxtaDaVince777]

They give up on everything else and focus on it for 2 weeks or more. I missed the gym, work, all of it. But its worth it when you get an A.

[@breathdream9020]

THIS is the online school we need, and everybody wants.

[@justanghozzst8218]

Thanks again Mark Walberg

[@greaser3069]

LOL

[@KevinJTrebilcock]

OMG !!! I was thinking the same thing lol

[@yunkshione-1016]

Mark who?

[@willharvey3605]

You and Brian mclogan are single handedly keeping my math grade above water

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for a solid video/lecture on Solving Trigonometric Equations Using Identities. These are all classical Trigonometry equations from old mathematics.

[@Melsayah]

the only channel to go to when you have math problems

[@mtywest4836]

facts!

[@darshan10x]

Sir,Your workings and explanation is very detailed and easy to follow..Thank you very much for making this :D

[@RikyPerdana]

I can never thank you enough how much enlightment this channel gave us

[@King16B]

Thank you you saved me for my test tomorrow

[@TheOrganicChemistryTutor]

I'm glad I can help

[@adamsh1]

@@TheOrganicChemistryTutorbro actually responds (6 years ago)

[@jimbomb2357]

After three hours of trying to get this topic, I was about to go mad because I couldn't understand. 4:02 into the video and everything is so clear. Thanks!

[@unknownuser6757]

I failed precalculus. But I still want to know what this is. The universe is interesting

[@amandamoore2868]

Thank you! Literally that was everything I needed in a nutshell. Everything makes so much more sense now!

[@Thabang_Kgatla1]

He has the amazing ability to make difficult things look much more easier

[@audreyandfriends332]

Nah this still don’t make sense

[@om27.]

Thought I was the only one

[@leah9161]

i stggg

[@FairleyWhite]

The you still probably watched it all is phenomenal progress! Hmu if you need anything.

[@taongamumba9851]

​@@FairleyWhite Hi😢

[@greggnoly4353]

Real

[@uriel.dombo_2]

You are a life saver imma champ the maths test i hv tomorrow

[@alfredovalles6207]

Finals next week, these videos are priceless. Thank You OCT!

[@ericabellile]

You saved my ass in chemistry last year and now you’re saving my ass in precalc lord bless you

[@stevenmcmullen3346]

Great explanation for specific questions, but a deeper understanding of how to go about solving would have been more appreciated. I teach and tutor higher mathematics , I also look for vids to supplement my teachings with students. Some of your other vids are wonderful, my comment is strictly constructive criticism. Most of my students only need to understand how to solve the problem to complete their degree (and of course get the answer right). You would make a wonderful tutor if you haven’t tutored already. Cheers!

[@HoustonflightSimmer]

In my opinion this should only be supplemental to what is taught at school for the reasons you described.

[@tylerlancaster6678]

10 seconds in and I'm already lost..

[@harrydenesia7804]

Same

[@glaciveestudios6170]

Looks like you need to repeat Grade 7 and learn your algebras then

[@tylerlancaster6678]

@@glaciveestudios6170 it’s fine, I don’t use this in real life

[@GooseCrack]

​@@glaciveestudios6170 hell ya i do, 7th grade math was a mess though, we had sub after sub and learned nothing most of the first semester. Algebra 1 9th we had too much fun, Algebra 2 11th we went too slow, I was destined to lose from the beginning

[@kylejohnson8447]

That was such a troll of a first question lol

[@CountGrishnakh]

I know right lmao

[@user-ev9yz1yb7l]

I still don't get it

[@kylejohnson8447]

@@user-ev9yz1yb7l nowhere on the curve does the function equal 0. Since sinx is the reciprocal of cscx, if sinx=0 cscx is undefined due to having 0 in denominator

[@Potato-Poop]

bro i always understood everything u said in your vids, but this one, for some reason, I can't understand shit from this lesson!

[@nat4909]

LMAOO SAME

[@GooseCrack]

trig equations are seriously the last straw, I cant do this no more dawg

[@baylorwuzhere]

Dude, I’m taking college trigonometry as a sophomore in High School and this class is killing me! These videos are helping so much! ❤

[@jared3592]

single handedly saving my math marks what a goat

[@mariananunezfurber2293]

YOU DESERVE THE WORLD

[@spaceboy1362]

This channel is gold

[@TopGamingPlayz]

Thank you so much! My teacher isn't doing a good job at teaching this online and this is going to same me from failing my test!

[@joshcaden24]

45 45 90 triangle the sides are 1, 1, and the sqrt of 2 is the hypotenuse

[@greendiamond5027]

Not gonna lie, this channel has absolutely saved me in algebra 2. Thanks.

[@mdshayemurrahman9]

Your voice is so good also the teaching

[@Dolbyatoms733]

lots of love from India!!!

[@c4p0503]

Thanks for this!! Your videos are helping me like you have no idea!

[@americanmathematics5478]

I love maths trigonometry calculus ❤️❤️❤️

[@cameronoconnor9260]

For the tanx=1, you are able to combine the two answers into pi/4+pi(k)

[@sabrinayoung1503]

I missed this lesson in precalc today because I was on a field trip and this actually saved me.

[@galacticcalculator69]

My trig test tomorrow is going to cook me

[@topfloortempo]

yeah im failing tommorow

[@Keeki549]

Lmao I got my exam today at 2. I’m cooked af

[@shaneryan5304]

@ 2:45 the hypotenuse and legs for the 45,45,90 should switch values

[@Foos3yOW]

Great video now im gonna pass my test woooo

[@artlife3505]

you are the reason why i do good in ap calc

[@lilzenwi6714]

its not an "organic chemistry Tutor" video if he doesn't do that heavy cough

[@tabella5233]

This was really helpful. Thank you! 💖

[@ballpython324]

Another great video... Doing the lords work.

[@americanmathematics5478]

After watching this video I can clearly understand trigonometric equation thanks for making this video

[@arnavgupta4881]

Just wanted to point out a mistake, that the 45-45-90 triangle labeled at 2:57 is incorrect. Rather than root2-root2-1, it should be 1-1-root2. Love your videos man, they are great!

[@Zach_00_5Bankai]

playing this on loop all night for my test tmr

[@vasnot]

Tan has a domain of (0,Pi)

[@nathandethird2682]

Simply the best there is....👑

[@nehabagur2139]

THANK YOU SO MUCH!!! This was really helpful I finally understand it now.

[@BakesDaDon93]

In a 45-45-90 triangle the legs are 1 and hypotenuse is square root of 2

[@simonejohnson1704]

Thanks got test today this has definitely helped me 😁

[@krkmjr8429]

does it help you untill now tho

[@alvinnivla8595]

SIr, I find something might be wrong at 2:56 in your video. I think 45-45-90 triangle's rate of sides should be 1:1:√2 instead of √2:√2:1

[@mohamedanaschoumoul587]

Yes you are correct, I believe he made a mistake there

[@cloato1330]

This vid was amazing

[@parultidkae4924]

THANKYOU! FOR EXISTING SIR!!!🥺 YOU'RE MY ONLY HOPE!😭💗I WISH I HAD YOU IRL.

[@briancervantes1118]

Got my final in 2 years let’s get it

[@mohammedmatar2705]

For the triangle of angles 45 45 90 the hypotenuse= square root 2 not the opp and adj

[@mafox3800]

he messed up the sides in the 45 45 90

[@TeamNolex]

MA FOX So I always thought: 2 times the square root of two was 1. I don’t know what you’re talking about.

[@user-wf6xd3db4i]

Team Nolex the hypotenuse CANT be shorter than the legs.

[@Dippa1991]

Team Nolex 2 isn’t a square number therefore it can’t be one

[@mathlegendno12]

Hi

[@danibaba7058]

1=4 haha

[@HeavyReign12]

Absolutely destroying calculus 1 when I've never been good at math, but the trig functions are starting to creep back into everything again. Gonna be a rough couple weeks being brought back up to speed on this, trig is honestly so wack.

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your videos really help me...BRAVO!!!!!

[@vegan__girl]

Thanks for this amazing video Chemistry Tutor 🖤

[@iceblink2120]

You are such a life saver. Thank you

[@gudetamacx]

Aren’t the sides supposed to be 1, 1 and rad two on the 45,45 , 90 triangle?

[@theartofmusic05]

I am 15 years old and I understand them very well Thank you

[@thefirefades]

Nice, I'm also 15. But why did you need to state your age?

[@captainobviousbirb]

@@thefirefades so a 15 year old like me gets jealous, i don’t understand shit😭

[@Vector12138]

the adjacent and opposite length for a 45degree angle are both 1 and the hypotenuse should be the square root of 2. 2:47

[@danyy8000]

This guy reaches better than my math teacher

[@ayo39]

You are better than Meenu

[@tpstrat14]

If you get familiar with the graphs of trig functions, the answers become visually intuitive. Then you actually learn what the math is saying about reality. For example, once you have cosx = sinx, you automatically know that those functions equal each other periodically. Look at the graph! It’s so cool! The math checks out! This video is needlessly confusing!

[@riastr0]

Do you by any chance have any vids to recommend? Pretty stuck rn

[@hamedahmed6348]

Thnak you so much bro u saved me ❤️

[@graceksabutey1619]

thank you very much for sharing your knowledge, it has helped me a lot

[@ayo39]

You are better than meenu

[@nightshade8538]

so in a way you can treat the trig functions as regular variables and then after isolating the trig function as much as possible, solve for x.

[@Thabang_Kgatla1]

This guy is the best. He will make you understand what you are doing

[@daniellin8088]

savior!

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Thanks so much sir u just saved someone dat is to write an entrance exam😚😚

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This is gonna save my grade

[@dablackpanda1348]

11:22 factoring

[@hanacantsleep3162]

i love you so much sir thank you for saving my life

[@val-zod1284]

this shit is hard af. But i will ace this test if its the last thing I do

[@maalikserebryakov]

*PREFACE* I probably shouldn’t tell others this strategy because it would be better if everybody struggled with math. *HOW TO SOLVE ANY SOLVABLE PURELY TRIGONOMETRIC EQUATION* Step 1.) Rewrite all trigonometric functions in First Principles The meaning of this is that: You write everything in terms of sin(x) and cos(x). Step 2.) Objectively simplify this new equation. The meaning of this is that: You manipulate the equation using the trigonometric identities in a way that accomplishes two goals (1) Reduces the number of terms that contain trigonometric terms (2) reduces the order of trigonometric terms Step 3.) Weierstrass Technique. let t= sin(x) cos(x) = 1-t^2

[@andyrobert4943]

Thanks very much for your explanation.

[@SaraIcy]

Thank u so much!!! Could u maybe do trigonometric inequalities?

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You saved my life bruh

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U re the best teacher bro jus make sure ur handwriting is good for more likes

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Thank for this content! You’re awesome

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hey, you're awesome too! :D

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@@aet8950 poggers

[@EchoLocoCJ]

Doing a study marathon the night before my final. Wish me luck!

[@stephencollins2831]

Thanks! That last problem helped me with one of my problems. I never saw the quadratic formula, I only the book said that.....

[@anubhavmc2123]

thank u so much sir

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Lesa akupale iwe😂😭, you just don't know how much you've helped

[@ThandiweChungu]

😂😂awe sure !

[@giftchileshe1745]

Thank you very much i have understood this you are awesome

[@justinkongol0]

I’m sorry but this just didn’t help for my Pre-Cal study guide. I’m legit screwed🙃

[@gloriakiss5823]

No you're not, start by studying the sequences of the angles numbers go from there

[@justinkongol0]

Gloria Kiss i got a 93 on the test turns out I wasn’t as screwed as I thought

[@gloriakiss5823]

@@justinkongol0 and you're going to do even better because you are persistent and a perfectionist. You taste success ✊🏽💯

[@harrydenesia7804]

@@gloriakiss5823 i taste failure

[@clareli1211]

Pre calc 30 midterm tomorrow..

[@noura3431]

Thank you so much :)!

[@joiiycelm1130]

Thank you so much 🥺🥺

[@brentplacide4844]

Sir, in your second example, I have two queries. The first is, is that the only method : dividing both sides of the equation by cos to work that problem, because I certainly did not do that. Couldn’t we have squared both sides as an alternative? Second, aren’t you not supposed to divide by a trig factor - in this case COS X,since you may loose solutions??? Please explain thanks.

[@Quinzer0]

Let be real we all came here not for "Solving Trig. Equations" We came here for how to find their angles