How To Find The Exact Values of Trig Functions
Вставка
- Опубліковано 6 вер 2024
- This video explains how to find the exact values of trig functions such as sine, cosine, and tangent using the 30-60-90 and 45-45-90 reference triangles and using SOHCAHTOA.
Access Full-Length Premium Videos: / mathsciencetutor
Trigonometry Formula Sheet: bit.ly/47diggI
_____________________________________________________________________________________________
Trigonometry - Basic Introduction: • Trigonometry
Introduction to Angles: • Introduction to Angles
Radians and Degrees: • Radians and Degrees
What Exactly Is a Radian? • Trigonometry - What Ex...
Coterminal Angles: • Coterminal Angles In R...
Decimal Degrees to DMS: • Decimal Degrees to DMS...
Arc Length of a Circle and Sector Area: • Arc Length of a Circle...
Linear Speed and Angular Velocity: • Linear Speed and Angul...
Clock to Angle Problems: • Clock Aptitude Reasoni...
The Unit Circle: • The Unit Circle, Basic...
______________________________________________________________________________________________
Reference Angles: • How To Find The Refere...
The Six Trigonometric Functions: • The Six Trigonometric ...
How To Solve Right Triangles: • Trigonometry - How To ...
Reciprocal Identities: • Reciprocal Identities ...
Quotient Identities: • Quotient Identities - ...
Even and Odd Trigonometric Identities: • Even and Odd Trigonome...
Pythagorean Identities: • Pythagorean Identities...
Trig Functions - Periodic Properties: • How To Evaluate Trigon...
Trigonometry For Beginners: • Trigonometry For Begin...
The Exact Value of Trig Functions: • How To Find The Exact ...
Special Right Triangles - 30 60 90: • Special Right Triangle...
Special Right Triangles - 45 45 90: • Special Right Triangle...
Cofunction Identities: • Cofunction Identities ...
______________________________________________________________________________________________
Angle of Elevation Problems: • Angle of Elevation and...
Evaluating Trig Functions Given a Point: • Evaluating Trigonometr...
Exact Value of 5 Remaining Trig Functions: • How To Find The Exact ...
Evaluate Trig Functions - Reference Angles: • How To Use Reference A...
How To Graph Trig Functions: • Graphing Trigonometric...
How To Graph Sine and Cosine: • How To Graph Trigonome...
Evaluating Inverse Trig Functions: • Evaluating Inverse Tri...
Finding The Missing Side of a Triangle: • How To Calculate The M...
Finding The Missing Angle of a Triangle: • How To Calculate The M...
Two Triangle Trigonometry Problems: • How To Solve Two Trian...
Bearings Vs Direction - Word Problems: • Bearings vs Direction ...
Two Triangle Problems - More Examples: • Trigonometry - How To ...
_____________________________________________________________________________________________
Verifying Trig Identities: • Verifying Trigonometri...
Trigonometry Final Exam Review: • Trigonometry Final Exa...
Trigonometry Formula Sheet: bit.ly/47diggI
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/PUB0TaZ7bhA/v-deo.html
Yo mr tutor, thoughts on the new mario movie?
You taught me in 12 minutes what my teacher couldn't in 6 weeks... from all the people learning this the night before a test, thank you!
w
w
Nah, this taught me what my teacher never taught me which I need to know
Honestly. Been searching UA-cam for hours for examples like these. Thank God!
why do i feel exposed by sympathetic
OMG WHY THE HECK DO TEACHERS OVER COMPLICATE THINGS WHEN THIS MAN LITERALLY EXPLAINED IT IN 2 MINS!??? THANK YOU FOR SAVING MY FREAKING LIFE!!!!!!!!!!!!
True!
12 min video btw
THATS WHAT IM SAYING DMSKKSKSKA
U r studying hard ik u want to go to Korea 🤪💜
It's simple.
The more they complicate things, the harder classes are. The harder classes are, more students fail. More students fail, more students retake classes.
Students retake classes = money.
or
Some professors with egos think
Harder classes = bigger penis
his monotone ‘why does this keep happening’ killed me lmaoo
This is the absolute best explanation of the basics of trig for people who have a visually-oriented learning style. Thank you so much.
Yeah I don’t understand very much taught in school so I have to look at videos on UA-cam because they explain and provide examples so well I am able to understand
Why don't they teach us that way at school??? Cuz it's sooo easy and understandable now! Thank you
I agree to you 🙃
How do you think they make money?
@@NganTran-se2ip taxes. they can still teach us an easy way and fill in with other math in the curriculum
1000% agree
My teacher was making us use a circle instead and memorize where everything went, this makes it a lot easier
Good job man! Trig is interesting yet many studens are struggling with the most! Good explanation
I had a hard time understanding trig and still do and came to the conclusion that it would have been easier to understand if my professor had explained this to me on day one.
"This computer has issues" quote from the organic chemistry teacher. 6:16 to 6:28 is my faviorte part of this video lol. Good job at explaining this concept. Most teachers make these kind of things so difficult to understand.
I chuckle a little in those time stamp tbh😆😆
When I heard that I instantly knew I've watched this video before. Its so rememberal.
Best Math tutor ever with a cool and calm voice 🙌🙌
You're my inspiration 😇💪
For the co-terminal angles...
The multiple of 360 closest to the number in question could be used to get the co-terminal angle a bit faster.
Who agrees with me??
You have single-handedly cleared all my doubts, and for that I am thankful.
Crazy how i am learning trigonometry in less than 15 minutes when my teacher spent a week teaching us and still didn’t make it easy to understand. This man is a legend. 🙏🏼
This is the most helpful video on trig I’ve seen. I’m a sophomore in college taking calculus and still didn’t know how to do trig until this video.
My teacher is good and All, but there are something's that teachers cant explain to students but only ULTRA LEGENDS can
This Channel literally walked me through my entire academic path.
I studied electronics engineering and worked several years in my field, but finally decided to teach math and physics in school about 17 years ago. When started, I used this type of explanations (excepting SOHCAHTOA). Of course, they were straightforward and effective, but I was instructed by my coordinator not to do it that way because the aim is to teach math reasoning, not memorization (and SOHCAHTOA is mnemotechnic). Ever since I have been struggling with math-hater students who kind of demand the easy way of learning. Well, after explaining the math concepts and principles behind, I use this method in remedial sessions. Of course, students get it right away. Alumni who shared their experiences at university refer that what seemed to be a disadvantage at the beginning turned into an advantage because they could understand better what was going on. Don't get me wrong: the explanation is great and I found a couple of tips for my classes.
I coincidentally have an exam about this topic today. Thank you for doing this video man.
My Trig final is tomorrow and this is the one thing I had left to go over, so glad I could find this. No clue why I was never able to understand this, it's so simple seeing it this way lmao
In India, our teacher taught us trigonometry functions as -" Pandit Badri Prasad, Hare Hare Bole"
as - P | B | P
-------------
H | H | B
Sin= P/H ,
Cos= B/H
Tan= P/B
Hope it helps!!
We, students, have been blessed by the gods because of your presence
4 minutes in, it just solved me 2 test problems.... thank you my good friend!!!
If you find science boring you, means you're learning from the wrong teacher, sir you're the best cause you make science super interesting, thanks very much.
Great video. And I'm not even done watching it yet.
Yeah right me too
I could not figure this out for the life of me, and then I found this video and got it instantly! My teacher couldn't get through to me on this! Thank you so much! This is a life saver!
the only way to help this guy back is to watch the ads that popping out on his video and I'm going to write this comment to all of his video for you to know you can help him back by just watching his ads
I was looking at stocks for 4 minutes instead of my teacher doing this, thanks so much for the help.
This was great. I'm used to seeing triangles on the unit circle an hypotenuses of length 1. I got very confused when I saw a triangle with a hypotenuse of 2. Then I realized you just stretched everything to a factor of 2 which made me think more about it. It was great.
I hope jg likes my comment and how does he know this stuff and I mean all of this stuff but again we need people like him. I watch all of your videos, again I hope he sees this comment and likes it
MR. Organic Chemistry Tutor, once again this is another solid video on finding The Exact Values of Trig Functions.
omg dude you are a lifesaver man. I have not done trig in like 4 years man, I took Precalc when I was a Junior in Highschool. Really needed that refresher, thank you ever so much man
Did you get the degree?? wishing you the best!
ur better than all my math teachers combined
Listen man. I've got a test tomorrow, and you, you absolute fucking legend you, just saved that grade. Not only so I no longer have to memorize where radians are on the unit circle, but I can convert to degrees so much quicker. My teacher failed to connect the relevance of those two triangles to the problem. Thanks homie.
I wish my teacher would let me use UA-cam tutorial trig equations. They wants us to use their own trig methods and it’s annoying. I wish I can use this method. They talk too fast and I barley understand them.😐 Anyways, thank you for putting this out, It means a lot.
Honors pre calc here we went over this in like less than a week and thanks a lot for saving me for this upcoming quiz.
Need more info for electrical engineering calculations, power factor of 3 phase systems for example, thanks for all your videos
This literally negates the need for remembering the ASTC rule and doing calculations. Thankyou :)
I re-watched my teacher’s video multiple times but still didn’t understand until I watched this video once and I could do my homework 🤭
I was so confused by my teacher. You explain it so clearly. Thanks
Thank you! I really can't express how helpful you are!
I know that this video is older and everyone else has said this, but wow. You really are insane at teaching stuff
Best ever man i saw teaching❤🙏❤
Mate your a life saver currently diong civil engineering and mate you help me alot.
Damn you’re pumping out the vids!
I’ll check them out if I ever need help
i just wasted one hours of my instructor explain this crap from the moon and back i can't understand it. after 15min of your videos it make so much sense.
Thank you I have to learn Trig over summer for calculus :)
Wouldn’t it be easier to know calculus before trig
@@vincebutolder9921 no
That was so simple and easy to understand omg. I swear it was never like that when my teachers explained it-
What if the value we need to find doesn’t involve a “good” angle? What if I need to find cos(58°)?
I have the same question I saw it as a practice question for my final and I have no idea what to do…commenting in case someone answers you
@@_Anna_Nass_, you have to use some trigonometric rules, for example addition, duplication, bisection, etc., with known angles. There are not other ways, because you have to memorize the value of lot of angles, which is a waste of energy, as there are infinity values, so you have to use the calculator.
@@schematism nice 🙂 bro
What if the equation you get is not equal to a special triangle though? Like sin (-pi divded by 12?)
I found a lot of videos honestly from yt but this is the most clear. Thank u!
for the cos 150, why isn't our reference angle 60 degrees but for the cos 240, our reference angle is 60 degrees?
Use pi or 180 to help determine the reference angle. 180 - 30 = 150 degrees. 180 + 60 = 240 degrees.
The 30 degrees or the 60 degrees is the reference angle, and it all depends on the question you are trying to answer, as to which angle you use.
For example, for the cos (5 pi / 6) , once you draw the diagram and find 150 degrees, you can see that this angle is 180 - 30 = 150 degrees. So, you draw the reference triangle as he has done and look ONLY at the 30 degree angle to determine adj / hyp . Remember, it’s 180 - 30 = 150 degrees.
Thank you,teacher
You have 1,77 millions student
question: instead of using sin, cos, and tan,,, what if you were given csc, sec, and cot and say theta,,, how would you find the function value? asking for a friend :,)))
bro you help me a lot. I am watching it 16hr before the exam
This is so goood. The man understands it and make it so simple to understand trig
You are a hero. Have an amazing day
You r absolutely amazing
I struggled prior to this in trigo
same
when you're trying to figure out whether or not the opp,adj, and hyp are gonna be negative, how do you determine what is what? because I got confused when you solved the cos240 and all the sides were in the same quadrant, but some of them weren't negative.
hyp is always positive
See the thing is that when you apply Pythagoras theorem(base^2+perpendicular^2)=(Hypotenuse^2) we add up the squares of base and perpendicular sides and as you know that square of a no.always gives +ve that why the hypotenuse was +ve rest the perpendicular was parallel to -y axis and the base was parallel to -x axis that's why they are taken -ve ... Hope you understood...
my teacher taught me a trick called ASTC. A= all positive. S= sine and it's reciprocal (csc) are positive and rest negative. T= tan and cot positive, rest are negative. C= cosine and sec positive, rest are negative. so Q1=A Q2=S Q3=T and Q4=C. ASTC. Hope that helps
@@meriiea Yup same here. ASTC going anti clockwise. I remember it till now !
thank you so much for this vid!! i was so lost before but now I have an actual understanding of how to do this
Make it so simple to grasp...
Thanks...
Him.."Why does that keep happening? This computer has issues" Me...🙃😊you talking to me 🙏🌞
Not the hero we deserved, but the hero we needed
oh my god. you're the saviour
How do you calculate the trig functions of _nπ/a_ radians where _n_ is an integer, _a≠6,_ and _a≠4._
Thank you. This helped SO MUCH
you're literally saving my life. thank you so much.
you're the greatest to ever do it thank you so much
THIS VIDEO REALLY HELPED THANK YOU SO MUCH 🤗💖👑
Thank you so much. I was real pressed abt this topic the day after we learned it and you helped a lot!
You are a angel man, Thank you.
Can you explain why we use the 30° one to calculate and not the 60°. I'm confused at that part.
The 30 degrees or the 60 degrees is the reference angle, and it all depends on the question you are trying to answer, as to which angle you use.
You are so helpful, Thank You.
1:54 when we write cos(5pi/6) does than mean the value 5pi/6 is radian then, why dont we write 5pi/6 rad , like we write 30degrees ? Idk if i sound stupid but…….
I'm pretty sure if it has "Pi" in it at all then it is understood that it's in radians, so you wouldn't have to put rad after.
Omg u just saved my life
My best tutor
Thanks for the lesson
YOU’RE A LIFESAVERRR
By watching the thumbnail at first , I did :-
Radian to degree conversion by multiplying the given value by 180/π
10π/3 x 180/π = 600°
Sin 600°
Sin ( 630° - 30° )
Since 630° lies on Y-axis on trigonometric functions graph , sin will get converted into cos . Given angle(600°) will be in 3rd quadrant , so cos will be -ve . Hence final value will be:. -COS 30° = -(√3/2)
But your method is easier ...
so the hypotenuse is always positive?
Thank you, thank you, thank you!!!!!
Thank you man for saving us 😍❤️❤️❤️♥️♥️♥️❤️❤️❤️
you saved a soul thank you🙂❤
Thank you for this. It really helped me.
This video is excellent. Thank you for the help!
In the first example drawing the circle to get the angles, you drew your triangle on the next axis you would cross. The next 2 examples, you drew it against the previous axis crossed. Why? Or does it even matter?
you absolute unit bruhv !!! subscribed and liked
literally saving my math grade rn
Yo i love this man- if u can teach a dunce like me im saved
was stuck on a question similar to these and I fully understood it after watching. Thank you so much
What if it’s not one of those specific angles that work easily? Like what if it’s 599 degrees? Or 36 degrees? Then how do I figure it out?
This man is amazing !
THANK YOU i understand now🍀
Your the G.O.A.T🔥
Trying to figure this out before my exam tomorrow
Thank you so much man this is much appreciated
This makes so much sense.
Thank you so much! This is very helpful.
Thank you so much this really helped
thank you soso much.
This is really helpful in finding arguments and polar formation of z!
okay
What if you have something like 270 degrees ??
Sin270 = -1, cos270 =0
how we are going to find the value of 200 degrees. this method only works in those kind of angles