How To Use Reference Angles to Evaluate Trigonometric Functions
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- Опубліковано 12 вер 2024
- 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 - Basic Introduction:
• Trigonometry
Angle of Elevation Problems:
• Angle of Elevation and...
Evaluating Trig Functions Given a Point:
• Evaluating Trigonometr...
A Simple Way to Remember Trig Values:
• A Simple Trick To Reme...
Exact Value of 5 Remaining Trig Functions:
• How To Find The Exact ...
______________________________
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...
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Bearings Vs Direction - Word Problems:
• Bearings vs Direction ...
Bearing Problems and Navigation:
• Bearing Problems & Nav...
Two Triangle Problems - More Examples:
• Trigonometry - How To ...
Trigonometry Final Exam Review:
• Trigonometry Final Exa...
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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Trigonometry Formula Sheet:
bit.ly/47diggI
Trigonometry Formula Sheet: bit.ly/47diggI
Final Exams and Video Playlists: www.video-tutor.net/
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thank you SO MUCH mate i was literally at the point of tears because I didn't get it
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Same , and my teacher just skips a bunch of steps. I just can't follow her lol
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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.
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I have my trig final tomorrow and im only just now understanding this. thank you for your help!!
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👊🏻
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i still don't get it what the actual hell
kevinmathscience helped me
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what about an angle like 205.5? how do you apply the 30,60,90 triangle there?
Pray
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
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.
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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.
Hi, how can we know if triangles 45° and 45° or 30° and 60°?
Late but look up Unit Circle and that should help.
What if the angles are not special triangles? What is the number across it?
u arent tested on that ever.
1:34 Why is the hypotenuse always positive?
3:40 how do you determine the quadrants if the values are different?
no clue
May I ask sir how the sides of the 45 degree angle is 1,1,and square root of 2?
This is truly on of the useful ever found! Helped me alot🙏🏻
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Thank you so much for your help i only understood after watching your videos
What do I do if I get like 27 degrees or 68 degrees what do I do then?
Now matter how many videos I watch on this do not understand it
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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
that moment when a youtube video teaches you more than your math teacher
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thank you so much youre seriously saving my online education
thank you for posting. you explained everything clear and it is much appreciated.
how do you know that the hypotenuse is 2? when my teacher does it he always puts one and I am really confused 😭
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.
how do you know which angle to do the sin, cos, tan, csc, sec, and cot from?
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!!
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"
Extremely helpful video. Thank you so much!
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/
@@user-im8kd4ey5n how’s life
ok guys its 2024 , its been 5 years did any of yall understood this?
1:23 when should it be negative？
Think of it as a graph. Left side is negative, bottom as well.
I felt smart for once, after watching this video 😆.
Thank you, very helpful
Taught me more in a few minutes than a teacher with a college degree could in an hour
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Sir quick question do I have rationalize the answer like -1/√2 to -√2/2 or can I just leave -1/√2
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.
How do you know what the x, ys are to determine what sign they are?
Where do you get the side lengths from???
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
Finally I understand how to find sine cosine of an angle
5:54 when the angle is negative the arrow should be from the first quadrant right?
Why did you make the hypotenus which is r positive in quadrant 4?
Isn't x the only side positive?
@organic chemistry tutor
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
yes, perfection - amazing practivce!
What if you get a smaller negative degree? E.g cos(-15)? How would you make the triangle?
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how would you know what degrees to pick? is it always on the x-axis the reference angle?
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What do you mean by “rationalize it” , what’s wrong if we leave the answer as it is
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can i just concert the radian into degree using 180/pie instead?
In 8:21, I don't get why you add 8 pie over 4. I'm literally confused
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..
how do we know the values of hypotenuse and lengths of the triangle?
Why is the 2 not negative?
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?
1:34 why root 3 is negative?
It is in the negative y or quadrant IV (+,-)
It's like a graph. The bottom is negative
GOSH HE EXPLAİNS SO WELL
Thanks a lot man
Wait, why is 300 degrees associated with 60 degrees for Sin 300?
My mentor😌
Thank you
How about angles thats not land on special triangle?
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
You are skipping the important points so I am unable to understand pls teach in a good way
but that's all are for special angle only.how about reference angle other than 45 and 60 ??
1:34 how we know the size of sides?
thank you so much
why did he use the co terminal for the 4pi/3?
Thank you sir...
Well this definitely cleared up what I'm suppose to do lol
ur name got me rollin
Why was it suddenly root 2, i thought opposite 90 was 2?????
Smiffy Boy 45-45-90 triangles have root two and 30-60-90 triangles have two for the hypotenuse
What is rationalize 4:36
does any one know where I can find a video that doesn't use special right triangles, I'm so sick and tired of all these examples using 45-45-90 or 30-60-90 triangles, one angle for my homework is 101.8 and I'm so lost and none of the examples I can find are helping.
Thanks
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.🤞🤞🤞
Shukran brother