Growing up, I always thought that trigonometry is hard probably because of how my teachers teach it, but you, you made it easier for us to understand the concepts, and how to solve it.
MR. Organic Chemistry Tutor, thank for another well organized and explained video/lecture on Reference Angles in old fashion Trigonometry. Reference Angles makes angle computation much simpler in Trigonometry.
Ever since I watched you video, I have really understood trigonometry, radian and unit circle. Thanks, @The Organic Chemistry Tutor. You explanation is very simple for everyone to understand. Keep up with the fabulous work because you are really making students school work easily to be done including me. Thank you once again for your simple explanation.
Interesting how the LOGICAL way of finding reference angles only works for Quadrant 3. Trigonometry is actual cancer. Thanks for this vid though, I shall add these backwards rules to the plethora of other illogical trig rules. Awesome. *cries inside*
Your videos are pretty easy to understand by using simple terms, our books and reference materials LOVE to make it very complicated. Saves a lot of time
Same. My math books in highschool always explain topics in a very complicated manner. This is the reason why my books don't get touched. I wouldn't understand my book if I don't have someone teaching me or if I don't watch a tutorial on TH-cam.
thank you so so much ahhh because my algebra 2 teacher said I have a quiz tomorrow and I didn't know about it so :) but thanks for the videos!! you're the reason I got an A last semester!
Hello sir, I would like to know the sine of the reference angle of the acute angle 60_30_45, the sine of the angle 170 in the same way. It is my homework for tomorrow ++ I apologize if there is a mistake in the words, but I use Google for translation. Thank you. ❤
So I guess you really do need to remember these 4 formulas in order to work out reference angles. Is there not a way to work it out through visuals of the unit circle and figure out the required steps through that?
Just remember that positive values moves in a COUNTER-clockwise direction...Then once you find value think to yourself “how many degrees would it take to get back to the x-axis?”....For example if you were given 150 degrees. That’s in quadrant 2....so to get back to the x axis you would have to add 30 degrees. 30 degrees is indeed that reference angle....Hope that helps
What he was doing except in radians. For Quadrant1 = The reference angle is itself For Quadrant2 = π - Angle in Quad2 For Quadrant3 = Angle in Quad3 - π For Quadrant4 = 2π - Angle in Quad4 So for example: The angle 11π/6. We know that it is in Quadrant 4 As it is pretty close to 2π Then we do 2π - (11π/6) = π/6 Therefore that is our reference angle!
*thank you for teaching in an understandable way~* however, i spotted a mistake at 19:10 in Tan 60° = √3 It should be: Tan 60° = 1/√3 In the given 30-60-90 triangle, Opposite Side = 1 Hypotenuse = 2 Adjacent Side = √3 · SOH CAH *_TOA_* · TOA, which is Tan = Opposite Sides/ Adjacent Therefore, Tan = 1/√3
Bruuuuuuh.... Now I'm confused.. We were thought differently in school. Quadrant 1 = as is. Quadrant 2 = angle - 90° Quadrant 3 = angle - 180° Quadrant 4 = angle - 270° Because her reasoning was you were supposed to subtract the angle by the degree it went past.
Because quadrants on a coordinate plane always move counterclockwise, and positive angles always open counter clockwise in relation to the positive x axis… or so my text book says 🤷♂️
Bro God bless but i have one request Plz if possible help me with application of trigenometry under 1.a household appliances and electric generators pLz am suffering with it
a bit late, but add 360 to the angle. the result you get is the angle you have to form CLOCKWISE. for example: say you're given the angle -400 degrees 1. add 360 to it and you get -40 2. -40 means the angle is formed in the 4th quadrant (when considering clockwise) 3. and now to find the ref angle all you have to do is subract the angle you get from 360. it might be a bit more work and confusing but thats how i usually work with them Trig is weird
I think I figured out an equation for. (Note: TH-cam comments are very limiting for righting equations. But I'll explain with an example if things are unclear.) x𝛑 x𝛑 ------ will turn into ----- y y ----- x Using this formula, let's say 5𝛑 over 3 is our angle. (Cause it's an example used in the video. You will divide the entire thing by 5. So it is now 7𝛑 over 3, now divided by 5. The 5's end up cancelling each other out and you get 𝛑 over 3. This works will everything as long as x > 1 from what I can tell. If something is wrong, let me know.
You aren't even willing to listen that's why you fall asleep. Pay attention and get advantage of the remarkable way of solving math problems. Don't just open it and expect concepts to be poured into your head. It also benefecial if you try to solve problems with him and take notes.
@@doesnmatter939 as someone who already passed the class that this topic is on, I can listen to whatever I want to fall asleep. It was a comment on the narrators monotone voice, not the importance of mathematics. Take your shitty attitude somewhere else and have a nice day 😊
Trigonometry - Free Formula Sheet: bit.ly/47diggI
Trigonometry Video Lessons: www.video-tutor.net/basic-trigonometry.html
Why are the trig functions of the reference angle and the trig functions of original angle?
Eg. sin 30°=sin 150°
Growing up, I always thought that trigonometry is hard probably because of how my teachers teach it, but you, you made it easier for us to understand the concepts, and how to solve it.
Niceteacher
Bless thee kind soul for taking the weight of a thousand worksheets off my back. Good content, good channel; keep it up!
Great
Sir, you're nothing but a MASTER of what you do
Who else has a test tomorrow?
lets get it
Yeet
It’s the pre cal test for me
I’m in a test rn 🥴
@@Name-hg3ho you pass it?
MR. Organic Chemistry Tutor, thank for another well organized and explained video/lecture on Reference Angles in old fashion Trigonometry. Reference Angles makes angle computation much simpler in Trigonometry.
Who ever you are u deserve a medal sir I’ve been looking for videos that explained how this worked and nothing helped until I saw this THANK YOU
Whenever I watch your tutorials, I always get the highest scores and highest grades. THANK YOU SO MUUUCH!
I'll admit. I never really liked this channel throughout high school but for some reason, this video completely clicked with me. Thanks
Ever since I watched you video, I have really understood trigonometry, radian and unit circle. Thanks, @The Organic Chemistry Tutor. You explanation is very simple for everyone to understand. Keep up with the fabulous work because you are really making students school work easily to be done including me. Thank you once again for your simple explanation.
Interesting how the LOGICAL way of finding reference angles only works for Quadrant 3. Trigonometry is actual cancer. Thanks for this vid though, I shall add these backwards rules to the plethora of other illogical trig rules. Awesome. *cries inside*
mood
@trigonomic cancer🤣🤣🤣funny guy!
ive been struggling in this topic for days, thanks a lot man, great content
same
Your videos are pretty easy to understand by using simple terms, our books and reference materials LOVE to make it very complicated. Saves a lot of time
Same. My math books in highschool always explain topics in a very complicated manner. This is the reason why my books don't get touched. I wouldn't understand my book if I don't have someone teaching me or if I don't watch a tutorial on TH-cam.
@@antisocialbutterfly3709 ok
i have been so lost for literally two weeks in class and this just made so much sense thank you so much you are literally a life saver
Thank you so much you basically saved me from doing a huge mistake that I thought i was doing it in the right way but it wasn’t 😅.
this channel has saved my grade so so much
You're a great man teaching the world the knowledge we want to know.
Congrats on 3M subs! Keep up the good work!
bro is now on 7.96 million
thank you so so much ahhh because my algebra 2 teacher said I have a quiz tomorrow and I didn't know about it so :) but thanks for the videos!! you're the reason I got an A last semester!
soo helping thank you Soo much
Your channel is a life saver. I have to take a class where they think ALEKS is an effective teacher.
This man is HEAVEN SENT! Thank you!!
you taught some of these parts in like secs and my professor takes 2 hours to explain some of this LOL...
so so helpful!! you make it so easy to understand! my grades and I thank you
We are blessed to have you ✨🙏🏻✨
I don't know what inspired you to teach but keep doing your job cause you're amazing at it
your voice is so easy to understand and listen to
very easy to understand. THANK YOU VERY MUCH!
Very clear and good explanation , keep it up
guy you are actually the best
Excellent Tutorial! Keep up the good work.
Something just went over in pre-cal for some reason it wouldn't just stick in my brain, this really helps cement it.
this man has single handedly carried me in pre-Cal
saved my life! thank you so much!
Hello sir, I would like to know the sine of the reference angle of the acute angle 60_30_45, the sine of the angle 170 in the same way. It is my homework for tomorrow ++ I apologize if there is a mistake in the words, but I use Google for translation. Thank you. ❤
Got test tdy,thank u
You should add a thanks button on your videos. Btw, thanks for this channel.
Nah cuz our assignment is this and the whole class practically had the same braincells working and FLOATING that period😢
You somehow explained that in a way more understandable way than my professor or textbook could do 😂
So I guess you really do need to remember these 4 formulas in order to work out reference angles. Is there not a way to work it out through visuals of the unit circle and figure out the required steps through that?
Just remember that positive values moves in a COUNTER-clockwise direction...Then once you find value think to yourself “how many degrees would it take to get back to the x-axis?”....For example if you were given 150 degrees. That’s in quadrant 2....so to get back to the x axis you would have to add 30 degrees. 30 degrees is indeed that reference angle....Hope that helps
This is way better than my teacher. Pre calculus is fuckin' mind blowing
thank you so much! this really helps
You're amazing. Thank you!
Thank you so much ! Very helpful
this helped me so much thank you
You're so helpful! Thx so much ^^
Great video. Thank you so much.
You give more Good information about topic
Pls can you do a video on solving sin,cos and tan of +and- decimal, my teacher didn't really explain well and we are having a test tommorow.
Thank you so much.. God blessed u
Pls can you explain the triangle @ 15:13
What if your teacher doesn't allow converting radians to degrees? How would you figure out the reference angles in radians?
What he was doing except in radians.
For Quadrant1 = The reference angle is itself
For Quadrant2 = π - Angle in Quad2
For Quadrant3 = Angle in Quad3 - π
For Quadrant4 = 2π - Angle in Quad4
So for example: The angle 11π/6. We know that it is in Quadrant 4 As it is pretty close to 2π
Then we do 2π - (11π/6) = π/6
Therefore that is our reference angle!
Reference angles are always positive angles right?
*thank you for teaching in an understandable way~*
however, i spotted a mistake
at 19:10 in Tan 60° = √3
It should be:
Tan 60° = 1/√3
In the given 30-60-90 triangle,
Opposite Side = 1
Hypotenuse = 2
Adjacent Side = √3
· SOH CAH *_TOA_* ·
TOA, which is
Tan = Opposite Sides/ Adjacent
Therefore, Tan = 1/√3
For angle 60 degree, opposite side to angle 60 is root 3 not 1.. so he is correct
only video i found helpful
At the end of the video isn't TAN Y/X so shouldn't be 1 over root 3? and then negative
The reference angle of the third quadrant can also be calculated with 270-theta
Thank you very much Sir
Bless all ye test crammers who gaze upon this comment. May you pass the test you cram for. Amen.
I have exam today at 10am and it is 7am
Bruuuuuuh.... Now I'm confused.. We were thought differently in school.
Quadrant 1 = as is.
Quadrant 2 = angle - 90°
Quadrant 3 = angle - 180°
Quadrant 4 = angle - 270°
Because her reasoning was you were supposed to subtract the angle by the degree it went past.
What about when the they don't go evenly say like 22PI/7... How do you find that degree?
Great video!!!!!!!
Wish you were my teacher.
Does anyone else have the problem where you just cant wrap your mind around using radians?
جزاك اللە خیرا
If on the coordinate plane you move clockwise, why are you naming your quadrants counter clockwise ?
Because quadrants on a coordinate plane always move counterclockwise, and positive angles always open counter clockwise in relation to the positive x axis… or so my text book says 🤷♂️
Bro God bless but i have one request
Plz if possible help me with application of trigenometry under
1.a household appliances and electric generators pLz am suffering with it
you are the best
Great vid but what about negative angles that are over 360
yes!
You subtract 360 i think.
Add *360 × n*
Where *n* is a positive integer
a bit late, but add 360 to the angle. the result you get is the angle you have to form CLOCKWISE.
for example:
say you're given the angle -400 degrees
1. add 360 to it and you get -40
2. -40 means the angle is formed in the 4th quadrant (when considering clockwise)
3. and now to find the ref angle all you have to do is subract the angle you get from 360.
it might be a bit more work and confusing but thats how i usually work with them
Trig is weird
Thanks, buddy!!!
Why does Cengage overcomplicate everything?
9:44 - 11:11
Me: What sorcery is this?
why is the final answer for the last question is negative root 3 and why its not positive
Thank you so much :)
Hi, Can you help me please? What the reference angle of -13 π /3??
I think it's just pi over 3
30
What if your angle is negative on the 2nd quadrant?
If it is negative, get its coterminal angle.
(- angle) + 360°
then when r u supposed to use ASTC anyone know
What is ø? And its pronounciation?
It is just a symbol to denote an angle in trigonometry. Pronounciarion is phi. Apart from that it is also used to denote empty sets
Boomers : technology is destroying our world
*lockdown enters the meeting*
Boomers : I pretend I didn’t see that
perfect exsampl and very interting
I'm watching this during class cuz i don't understand what this teacher is saying
saved my life
your sooo much better then my wack teacher...... DEAN GOOCH at Santa Rosa junior college... NEVER TAKE HIM
THANK YOU!!!
God bless you
Thank you sooooooo much omg
Thank you
So there are no negative reference angle?
I am having atest five years later after the video was released
I think I figured out an equation for. (Note: TH-cam comments are very limiting for righting equations. But I'll explain with an example if things are unclear.)
x𝛑 x𝛑
------ will turn into -----
y y
-----
x
Using this formula, let's say 5𝛑 over 3 is our angle. (Cause it's an example used in the video.
You will divide the entire thing by 5. So it is now 7𝛑 over 3, now divided by 5.
The 5's end up cancelling each other out and you get 𝛑 over 3.
This works will everything as long as x > 1 from what I can tell.
If something is wrong, let me know.
Update: I don't think this works if x = y as it'll simplify to 𝛑 (like he stated)
Who else’s is doing work from home due to the coronavirus?
absolute unit
thank you thank you thank you
Thanks
I listen to this to fall asleep
You aren't even willing to listen that's why you fall asleep. Pay attention and get advantage of the remarkable way of solving math problems. Don't just open it and expect concepts to be poured into your head. It also benefecial if you try to solve problems with him and take notes.
@@doesnmatter939 as someone who already passed the class that this topic is on, I can listen to whatever I want to fall asleep. It was a comment on the narrators monotone voice, not the importance of mathematics. Take your shitty attitude somewhere else and have a nice day 😊
@@thecoolchannel6431 lol true his voice does make me fall asleep
Fuck off spring butterfly
thank you sir you are a fucking legend
thanks man
The breaking down of numbers was unnecessary, though. I can just plug all that in the calculator.
Helpful but a little bit disturb with the voice😂especially when you are studying late night with this vid tutorial
yeah his voice makes you sleepy right?