Solving Trigonometric Equations Using Identities, Multiple Angles, By Factoring, General Solution
Вставка
- Опубліковано 17 жов 2024
- This trigonometry video tutorial shows you how to solve trigonometric equations using identities with multiple angles, by factoring, and by finding the general solution. This video contains plenty of examples and practice problems.
Bearing Problems and Navigation:
• Bearing Problems & Nav...
Two Triangle Problems - More Examples:
• Trigonometry - How To ...
Verifying Trigonometric Identities:
• Verifying Trigonometri...
Sum and Difference Identities:
• Sum and Difference Ide...
Double Angle Identities:
• Double Angle Identitie...
Verifying Trig Identities With Double Angles:
• Verifying Trigonometri...
__________________________
Power Reducing Formulas:
• Simplifying Trigonomet...
Half Angle Formulas:
• Half Angle Formulas & ...
Verifying Trig Identities Using Half Angles:
• Verifying Trigonometri...
Inverse Trig Functions With Double Angles:
• Inverse Trig Functions...
Right Triangle Trig With Half Angle Identities:
• Right Triangle Trigono...
Product To Sum + Sum to Product Formulas:
• Product To Sum Identit...
______________________________
Solving Trig Equations - Finding All Solutions:
• Solving Trigonometric ...
Solving Trig Equations With Multiple Angles:
• How To Solve Trigonome...
Solving Trig Equations With Double Angles:
• Solving Trigonometric ...
Trigonometry Final Exam Review:
• Trigonometry Final Exa...
Final Exams and Video Playlists:
www.video-tuto...
Trigonometry Formula Sheet:
bit.ly/47diggI
Trigonometry Formula Sheet: bit.ly/47diggI
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Where modern textbooks lose rigor, the Organic Chemistry Tutor maintains it throughout all of his videos. This channel is a global treasure.
Why u paying him $30 a month for bro?? He probably already make bank off ads and views
@@BananaMan-qw2hj This man decided to be our mutual internet professor. He deserves everything he gets and more
Well good luck for me... i need to learn this by myself because of the corona virus
fucking same. i want to die
Not very difficult just keep practicing. AS level pure maths 1 paper questions are nice
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.
Kai Laine rip for students like us
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.
I've learned more in this 14-minute video than I've learned in the past two weeks in class.
I’ve gotten worse
I was learning CAST diagram method in school
I learned how to do meth with organic chemistry lesson
Y’all get 2 weeks?
lol we went over this whole chapter in only one hour and a half
@@jaredr9469 nice big guy
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!
no offense but what are you learning this at 28 ?
mans saved me in physics and now in pre calc, what a LEGEND!
he saved you in physics and precalc. He saved me in precalc too. Wait... But hes an organic chemistry tutor!?!
@@aryathakur8014 he did have organic chemistry videos,so basically he"s got the whole package
@@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
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
@@aryathakur8014 he is a genius in anything maths and physics related
I learned more in the first 2 seconds of this video than I did in 70 years as a math professor
Underrated comment
Keep people with relevant videos, watch how to solve trigonometric equations, part 3 of 4 : ua-cam.com/video/8I3-JqDFrRM/v-deo.html
Keep people with relevant videos, watch how to solve trigonometric eqations, part 3 of 4 : ua-cam.com/video/awJwzjZncp0/v-deo.html
how tf do people learn this
Update: I failed. Twice.
lane anderson exactly
lane anderson xD i feel you brother
😭
straight up fuck this shit
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.
I biggest regret in life is not finding this channel before I was halfway through grade 12
bruh same
I’m doing this topic and I’m in year 9
My biggest regret was failing my meth test in 3rd grade it mad me so sad
@@jjmaxman234 Shouldn't have done meth in elementary school bruh
THIS is the online school we need, and everybody wants.
You and Brian mclogan are single handedly keeping my math grade above water
Thanks again Mark Walberg
LOL
OMG !!! I was thinking the same thing lol
Mark who?
Sir,Your workings and explanation is very detailed and easy to follow..Thank you very much for making this :D
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.
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!
the only channel to go to when you have math problems
facts!
Thank you! Literally that was everything I needed in a nutshell. Everything makes so much more sense now!
I can never thank you enough how much enlightment this channel gave us
bro i always understood everything u said in your vids, but this one, for some reason, I can't understand shit from this lesson!
LMAOO SAME
trig equations are seriously the last straw, I cant do this no more dawg
Thank you you saved me for my test tomorrow
I'm glad I can help
@@TheOrganicChemistryTutorbro actually responds (6 years ago)
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
Yes you are correct, I believe he made a mistake there
You are a life saver imma champ the maths test i hv tomorrow
Dude, I’m taking college trigonometry as a sophomore in High School and this class is killing me! These videos are helping so much! ❤
Finals next week, these videos are priceless. Thank You OCT!
He has the amazing ability to make difficult things look much more easier
You saved my ass in chemistry last year and now you’re saving my ass in precalc lord bless you
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!
In my opinion this should only be supplemental to what is taught at school for the reasons you described.
I failed precalculus. But I still want to know what this is. The universe is interesting
Aren’t the sides supposed to be 1, 1 and rad two on the 45,45 , 90 triangle?
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.
10 seconds in and I'm already lost..
Same
Looks like you need to repeat Grade 7 and learn your algebras then
@@glaciveestudios6170 it’s fine, I don’t use this in real life
@@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
That was such a troll of a first question lol
I know right lmao
I still don't get it
@@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
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!
Thanks for this!! Your videos are helping me like you have no idea!
45 45 90 triangle the sides are 1, 1, and the sqrt of 2 is the hypotenuse
Not gonna lie, this channel has absolutely saved me in algebra 2. Thanks.
single handedly saving my math marks what a goat
Nah this still don’t make sense
Thought I was the only one
i stggg
The you still probably watched it all is phenomenal progress! Hmu if you need anything.
@@FairleyWhite Hi😢
Real
@ 2:45 the hypotenuse and legs for the 45,45,90 should switch values
I missed this lesson in precalc today because I was on a field trip and this actually saved me.
For the tanx=1, you are able to combine the two answers into pi/4+pi(k)
Should we not add πn to tan for the coterminal angles since the period of tan and cot is π.
lots of love from India!!!
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!
THANK YOU SO MUCH!!! This was really helpful I finally understand it now.
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.
YOU DESERVE THE WORLD
its not an "organic chemistry Tutor" video if he doesn't do that heavy cough
This channel is gold
I love maths trigonometry calculus ❤️❤️❤️
Your voice is so good also the teaching
Great video now im gonna pass my test woooo
For the triangle of angles 45 45 90 the hypotenuse= square root 2 not the opp and adj
In these multiple-angle solutions, may n be negative? When there is 2 or more multiple-angle solutions, how do you immediately know when you can blend them into just 1 multiple-angle expression?
THANKYOU!
FOR EXISTING SIR!!!🥺 YOU'RE MY ONLY HOPE!😭💗I WISH I HAD YOU IRL.
hi thanks so much for these uploads. they are gonna save my day in june. am sure of that!
do we just need to know only these two triangles and a unit circle to solve all these questions?!
Thank u so much!!! Could u maybe do trigonometric inequalities?
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!
Do you by any chance have any vids to recommend? Pretty stuck rn
this shit is hard af. But i will ace this test if its the last thing I do
the adjacent and opposite length for a 45degree angle are both 1 and the hypotenuse should be the square root of 2. 2:47
he messed up the sides in the 45 45 90
MA FOX
So I always thought:
2 times the square root of two was 1. I don’t know what you’re talking about.
Team Nolex the hypotenuse CANT be shorter than the legs.
Team Nolex 2 isn’t a square number therefore it can’t be one
Hi
1=4 haha
Thanks got test today this has definitely helped me 😁
does it help you untill now tho
After watching this video I can clearly understand trigonometric equation thanks for making this video
is there any reason you used the interval [0, 2pi) instead of [0, 2pi]?
Another great video... Doing the lords work.
may i ask why you add 2πn to the results, rather than 2πk? I always learned it as 2πk. I know it doesnt matter but its a weird way of writing it for me.
thank you very much for sharing your knowledge, it has helped me a lot
Lesa akupale iwe😂😭, you just don't know how much you've helped
😂😂awe sure !
you are the reason why i do good in ap calc
Thanks for this amazing video Chemistry Tutor 🖤
your videos really help me...BRAVO!!!!!
for the second general equation,how do you know when you have to find general solution for sin?
U re the best teacher bro jus make sure ur handwriting is good for more likes
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.
what happens if sin(x) is the denominator and cos(x) is the numerator does it still equal 1=tan(x)? Thank you in advance.
Cos(x)/sin(x) is the quotient identity of cot
This was really helpful. Thank you! 💖
This vid was amazing
In a 45-45-90 triangle the legs are 1 and hypotenuse is square root of 2
Simply the best there is....👑
You are better than Meenu
I’m sorry but this just didn’t help for my Pre-Cal study guide. I’m legit screwed🙃
No you're not, start by studying the sequences of the angles numbers go from there
Gloria Kiss i got a 93 on the test turns out I wasn’t as screwed as I thought
@@justinkongol0 and you're going to do even better because you are persistent and a perfectionist. You taste success ✊🏽💯
@@gloriakiss5823 i taste failure
You are such a life saver. Thank you
playing this on loop all night for my test tmr
Thanks! That last problem helped me with one of my problems. I never saw the quadratic formula, I only the book said that.....
I am 15 years old and I understand them very well Thank you
Nice, I'm also 15. But why did you need to state your age?
@@thefirefades so a 15 year old like me gets jealous, i don’t understand shit😭
You are better than meenu
Thanks so much sir u just saved someone dat is to write an entrance exam😚😚
Thx so much
Do we have the right to write 225 degree like this (1.25pie)????
Great work. Always love your work.
I have question though. The last problem you solved, you got sinx=-1 and then to get x=sin inverse of -1 which is -90 but you didn't solve it that way
-90 and 270 are the same
i know this video is from a long time ago, but how did you get the 2, root 3, and 1 at 8:10 when you were choosing which angle it was correlated too?
Thnak you so much bro u saved me ❤️
Tan has a domain of (0,Pi)
Sir, Hw do you solve such a qn: |3 sinx -1|=2
Im still confused about when you write it out as an equation. Like after you say x= pi, 0 pi/6 etc. Finding X i get but how are you getting pi times n. What is n? Just an integer?
i love you so much sir thank you for saving my life
When your answer is lets say: tan x = (-3), and the angle you get is -72 degrees (to the nearest degree), Do you always use the positive angle?
You would add a positive 72 to 90 and subtract it from 360 because that's where tangent is negative. You determine positive/negative from whatever number tangx is equal to (in your case, -3).
So tanx = -3
x = tan inverse (3)
When we type in the calculator, we write the positive value of -3, which is 3. We do not write -3 in the calculator.
Thanks very much for your explanation.