How To Use Reference Angles to Evaluate Trigonometric Functions
ฝัง
- เผยแพร่เมื่อ 10 ก.พ. 2025
- This trigonometry video tutorial explains how to use reference angles to evaluate trigonometric functions such as sine, cosine, tangent, secant, cosecant, and cotangent with positive and negative angles in radians and degrees.. You need to have a good understanding of right triangle trigonometry, SOHCAHTOA, 30-60-90 triangle and the 45-45-90 triangle. This tutorial contains plenty of examples and practice problems.
Trigonometry - Free Formula Sheet:
bit.ly/47diggI
Trigonometry Video Lessons:
www.video-tuto...
Trigonometry - Free Formula Sheet: bit.ly/47diggI
Trigonometry Video Lessons: www.video-tutor.net/basic-trigonometry.html
He has helped me in every subject from physics to math to even computers, but i have never seen him teaching organic chemistry!
thank you SO MUCH mate i was literally at the point of tears because I didn't get it
esther shih me lol
Same , and my teacher just skips a bunch of steps. I just can't follow her lol
Well you should’ve just cried
Why do you care so much
me too
My final exams are coming up in about two weeks and you are really saving my ass here. I hope I get no less than a 90% on my final. Your methods are so much more straight to the point and simple than the stupid textbook assigned to me. Thank you so much bro!
Howd your exam go
Did your exams go well?
@@svijayiitk I think they didn't go so well after all😂😂
@@enockmboya2323 lol🤣
@@Christopher-l8x9v 😂no reply then you can get the answer from that
MR. Organic Chemistry Tutor, once again, this is another solid analysis of Reference Angle to Evaluate Trigonometry Functions. These videos/lectures continue to be outstanding.
I'm really having a hard time coping up at online class and you're saving my grades, thanks man
man ur the only person getting me thru math this semester
Nobody can save me now lul
@@eosdawn6399 u good?
I have my regional maths competition next week and you just saved me from getting absolutely destroyed by trigonometry..THX
This man has probably taught more helpful information than all of my teachers combined ever.
I have my trig final tomorrow and im only just now understanding this. thank you for your help!!
I just picked up more math tips in 10 minutes than I have the whole year of my math class
The assignment given to me was completely different than the notes my teacher gave me :))) ty for making this video otherwise I would be lost.
Thank you sooo much, I had struggled doing my homework but my it will be much easier... To be honest I watch tons of video about this but ur method is best of all👊🏻
he explained it so well in 2 mins, i was able to save myself from an hour of confusion and mental breakdown :0
This dude has carried me through highschool and now in college. You are a great man
OMG THANKYOU MAN! I’M LITERALLY CRYING OVER MY UNSOLVED TRIGONOMETRY PROBLEM. LUCKILY, YOUR VIDEO CAME ACROSS MY FYP
You saved me, I hope you’re doing great man you’re a real one
Your explanation was so systematic, clear and easy to understand. Thanks👍
that moment when a youtube video teaches you more than your math teacher
I should have given this guy my tuition instead because he is the only reason Im able to pass any of my math classes. My professor is literally just there to confuse the hell out of me.
Taught me more in a few minutes than a teacher with a college degree could in an hour
LoL. This was included in our exam, but my teacher didn't provide ample examples and a clear explanation in our lesson. Thanks for this!!
Mans has a video for every possible precal problem! face reveal at 5 mill?
My calculator was tempting me but i persevered
you are the best maths TH-camr i recommend changing your name to the organic maths tutor
I swear you always come in clutch when I need you the most lol
Thank you so much for your help i only understood after watching your videos
Brilliantly presented. You are clear and easy to follow. Your work is very relevant. Thank you.
Your amazing, I can't believe how much you've helped me understand math concepts
wow that's a game change. Thank you very much men, it's really helped me to understand better how to find the reference angle
Finally I understand how to find sine cosine of an angle
thank you so much youre seriously saving my online education
Now matter how many videos I watch on this do not understand it
You need escape velocity bruh
I hope u got it by now 😭
@@KatherineLee-ds2qn got it. My final for the class is on Wednesday need a 34% on it to pass woo!
i still don't get it what the actual hell
kevinmathscience helped me
me too where did he got the values for the triangle sides😭
@@axelxiloj799 the length of the sides of a 30-60-90 triangle always have the same ratio. The hypotenuse is twice the short side, and the long side is the short side times the square root of three. Similarly, for a 45-45-90 triangle, the two legs have equal length and the hypotenuse is the length of one leg time the square root of two. Best of luck
omg this. Thank you so much. Pearson sucks, but you explained this so well. Thank you!!!! Thank you!!!!!
Gotta love pearson restating the book's confusing wording lmao
I felt smart for once, after watching this video 😆.
so much better than my teacher
If I can invent "immortal pills", you're the first person I will give one for free so you can live forever and teach us more because you're a better teacher and I've learned so much from you!! thanks for your hardworkkk!!❤
You saved my life 💖
This is truly on of the useful ever found! Helped me alot🙏🏻
yes, perfection - amazing practivce!
luv you mr organic chemistry tutor
I have a honours pre calc final tmr I need a 38 on this final exams to pass the class 😂 I have no idea what was going on this whole year despite trying so hard to understand.🤞🤞🤞
This is actually really simple but I have to do these problems super fast so I won’t be able to take time to draw a graph. I’m just gonna have to memorize..
sir i love you so much right now
Extremely helpful video. Thank you so much!
Thank you Sir I understand much better from you
thank you for posting. you explained everything clear and it is much appreciated.
In 8:21, I don't get why you add 8 pie over 4. I'm literally confused
My mentor😌
good sir I appreciate you for making this! thank you so much!!
you're the best!!!!!!!!!!!!!!!!!!!
you are the goat bro
Thx so much very helpful video
10:12 isnt sin is supposed to be positive in the first quadrant? 240 degree is in the third quadrant right? That is 270-240=30, the answer -2.
what about an angle like 205.5? how do you apply the 30,60,90 triangle there?
Pray
Sir from 3:28 - 4:42 I got the answer as root 3 and I think your answer is wrong because the question is find tan 7 pi/6 not tan pi/6
3:40 how do you determine the quadrants if the values are different?
no clue
Bro saves my life,
Thank you, very helpful
GOSH HE EXPLAİNS SO WELL
Well this definitely cleared up what I'm suppose to do lol
ur name got me rollin
but now what if it isn’t one of those special triangles
Im having the same issue.
@@jmrc2908 Same. And my exam is tomorrow. Fuck my life.
The www.softschools.com/math/trigonometry/sum_and_difference_of_angles_identities/
@@إسماعيل-ط6خ3ض how’s life
ok guys its 2024 , its been 5 years did any of yall understood this?
1:34 Why is the hypotenuse always positive?
how do you know that the hypotenuse is 2? when my teacher does it he always puts one and I am really confused 😭
May I ask sir how the sides of the 45 degree angle is 1,1,and square root of 2?
Hi, how can we know if triangles 45° and 45° or 30° and 60°?
Late but look up Unit Circle and that should help.
Thanks a lot man
What if the angles are not special triangles? What is the number across it?
u arent tested on that ever.
how did you get the square root of 3, the one for 1 for the opp and the 2 for the hyppotenus
Excuse me, why is the hypotenuse always positive at the fourth quadrant(or any other quadrant)? Isn't tangent positive only in in the third quadrant?
so the hypothenuse is always positive because your hypothenuse is your "R" where as your adj is "X" and your opp is "Y"
How do you know what the x, ys are to determine what sign they are?
What do you mean by “rationalize it” , what’s wrong if we leave the answer as it is
how do you know which angle to do the sin, cos, tan, csc, sec, and cot from?
What do I do if I get like 27 degrees or 68 degrees what do I do then?
1:32 it should be positive sqrt of 3, right? the one that is negative is its denominator 2
no
It's like a graph. The bottom is negative
I don't get how to get the signs of each angle.. how can you determine in which quadrant if sin 270 is positive or negative
Because sin 270 lies in third qudrant where sin is negative ..sine angle positive in only first and second qudrant .so sin 270 is negative.
Where do you get the side lengths from???
Why is it 60 degrees at 10:11 isn't it supposed to be 30 degrees since 270 - 240 is 30? and shouldn't it be in the other half of quadrant 2? Someone help I'm confused.
Edit: Lmao I'm still waiting for an answer. Please help me lol even if this is comment is posted a long time ago. 😞✊ 😂
reference angle is always between terminal array and x-axis either positive or negative
I was wondering the same @Erin David
I would have topped my exam if you were my teacher
Sir quick question do I have rationalize the answer like -1/√2 to -√2/2 or can I just leave -1/√2
pls im still so confused and my review is due tmr
Thank you sir...
Tysm mate
Why did you make the hypotenus which is r positive in quadrant 4?
Isn't x the only side positive?
@organic chemistry tutor
thank you so much
That entire first step was CONPLETELY glossed over shi had me fuming
1:23 when should it be negative？
Think of it as a graph. Left side is negative, bottom as well.
How do you determine which angle triangle to use?
Shukran brother
What if you get a smaller negative degree? E.g cos(-15)? How would you make the triangle?
What if the denominator is not 3,6, or 4 for the radians. For example, my professor gave me this problem: cos (-9 Pi/ 2). The way he explained it had me really lost but I know the answer is 0... but why?
how would you know what degrees to pick? is it always on the x-axis the reference angle?
7:26 can someone tell me why 2 is positive even though it's in the same quadrant as 1?
because 2 is the hypotenuse, and it’ll be positive
I owe you a kidney brother
i thought the hypotenuse on unit circles was always one?
how do we know the values of hypotenuse and lengths of the triangle?
i was not taught trigonometry in this way
thank you
What if its like 45° that would be in the first quadrant correct?