Reference Angles
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- Опубліковано 8 лют 2025
- Learn how to find Reference Angles in this free video math tutorial by Mario's Math Tutoring. We discuss what a reference angle is and how they can be used.
0:01 How to find the reference angle
1:35 Example 1 Reference angle for 300 degrees
2:46 Example 2 Reference angle for 2pi/3
3:35 Formulas for finding reference angles depending on which quadrant the angle terminates.
4:49 Example 3 Reference angle for -210 degrees
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Like this video? You can use reference angles when working with and learning the Unit Circle. See the unit circle video I did here: ua-cam.com/video/iHa8f7k4Tg8/v-deo.html
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This helped me so much! Thank you and God bless! 🙋
+Mary K great! Glad it helped you!
Clearly explains the entire concept within the first 30 seconds, Awesome!
Love your voice. Love your explanation. Love your topic. Love everything about this video!
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Thank you so much you’re a life saver!
You’re welcome Julissa! Glad my video helped you!
Tnq So Much Sir , This Helped Me , Love From India .
Most welcome!
Thank you! I love the way that you teach, I very understandable
Thanks sir ❤
Most welcome
God Bless you Sir! This helps me very much!
Glad my video helped you Chamba!
You are a life saver
Glad my reference angles video helped you Opshora!
I can easily learn from you sir thank you so much
Thank you so much! You did an amazing job explaining this, and in less than 5 minutes!
The best so far...
Great video! Helped me understand it so much better. Thank you
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Thank you very much
I really think drawing the perpendicular to the x line is better than just doing the formula. It's much clearer. Thanks!
Your welcome! Glad my video helped you!
Thanks fully understood
+Abdiaziz Ahmed your welcome
Awesome man!!
Thank you so much! I finally get it!
+Christine Awesome!
You my friend should be my teacher lol thank you!!!
Any time!
Thanks a lot. Helped me bolster my understanding of this topic.
You’re welcome! Glad it helped you!
Thank you! Finally an explanation that says what’s going on and why. I understand now
You’re welcome Kyle! Glad you liked my explanation!
My professor did not go in-depth at all with this topic. Thank you so much.
Glad it was helpful!
Cheers mate...! very clear and not mucking around...I do like it!
Glad you liked my video!
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I love this man
Thank you. You save my life. Huhuhu...
Thanks!
Very interesting video. Thanks a lot for sharing. In your last example you indicated that the reference angle for -210° is +30° which as I understand, this is how is calculated: Reference angle = 180° - (360° + (-210°)) and you mentioned that a reference angle is always positive. So is it correct to say that unlike ordinary angles, the terms clockwise or counterclockwise has no meaning and impact when we talk about reference angles? We just take into account the scalar value of the reference angle (like an absolute value which is always positive) by just measuring the smallest positive acute angle between the terminal side and x-axis. Is that correct?
yes
2:52 why did u write pie/3 instead of 2pie/3 in the right triangle.
4:41 how did u get 30
what did u subtract
Samiya, the key with reference angles is that is is the angle between the terminal Ray and the x axis. It is always positive. I look at how many degrees or radians does it take to get either back to the x axis or to the x axis and it will always be an acute angle between 0 and 90 degrees or 0 and pi/2 if the angle is in radians. I’ll send a link to another video I just did recently that I think could help you.
Radians Intro (What are they? Converting Units, Draw Standard Position) ua-cam.com/video/zs_FyLTpW9w/v-deo.html
Thank you very much!
YAS MARIO 💖💖💖
Nice vid, greetings from Mexico
+Emmanuel Luviano Rodríguez thank you...glad you liked the video. Hello from Michigan.
what would be the reference angle if the given is -450°? 90°?
@Brian Mclogan Is also good
Why is the sine of an angle and the sine of it,s reference angle same,Sir??
Ratul, it has to do with the congruent triangles. You may want to check out some of my other unit circle videos to understand it more.
Sir, would you please explain how are they congruent.I really have been having a lot trouble figuring out why reference angles are equal to the original angle.And again Thank You sir.
Which one is the answer?
Thomas when finding the reference angle it will always be between 0 and 90 degrees or 0 and pi/2 if you are in radians. It is the angle between the terminal Ray and the x axis. Hope that helps!
Mario's Math Tutoring I want you as my school teacher, you are really smart and your explanation are really good.
Mario's Math Tutoring I also have a problem with Limits, on my paper, they ask me to consider the function g it says: lim and under lim is x->4, g(x)
How come (90+θ) be used as reference angle while proving sin(90+θ)=cosθ.
Thankful to you sir, was suffering from long time.
this was a good fuckin video jesus christ
Thank you so much!!!
You’re welcome Evelyn!
Thank you so much!!!