Area of a Triangle in Trigonometry - Formulas, Examples & Proofs - [2-20-13]
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- เผยแพร่เมื่อ 3 ส.ค. 2022
- View more at www.MathAndScience.com. In this lesson, you will learn additional formulas to calculate the area of a triangle in trigonometry. We previously learned that the area of a triangle is given as 1/2 times the base times the height of the triangle, A = 1/2(b)(h). Here we present several additional formulas to be used when we don't have the height available. Perhaps we are given one of the angles of the triangle instead of the height. We will learn how to calculate the area of a triangle in many more cases.
![Law of Cosines - Formula, Examples & Proof - [2-20-4]](http://i.ytimg.com/vi/ac25DrPYSoc/mqdefault.jpg)
![Law of Cosines - Formula, Examples & Proof - [2-20-4]](/img/tr.png)
This video is a GREAT follow up to your proof on the Law of Cosines video.
I spent 6 days working on that proof. I learned so much, but I also knew I need to
figure all the stuff in this video. I'm so glad you put this together, because my brain is very tired & I just want to celebrate finally understanding the Law of Cosine proof.
Thank You very much.
edit: the reason it took me so long, was I did not use the foil method. I solved inside the parentheses before squaring. Which allowed me to see that the oblique triangle was being made into two right triangles.
You are a Star you covered everything it's really helpful from your video I can understand all about area of triangle
Amazing teacher thank you so much
really enjoying your lessons.
very easy to understand things that never interested me in school.
Great teacher I have ever seen
Thank you sir
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When will these lessons be posted on the website?
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The clearity is soo nice like no doubtt
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A proper teacher.
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Good evening sir
Sir can you please add download and resolution option in your app it will be very helpful.
Mine shows resolution options up to 2160p
Is the base always the longest leg?
Could it be possible that the architects that designed the pyramids in Egypt used trigonometric function’s
Nice 👍
no problem
yes
I get A=8.3005
Hello, does anyone know a decent geometry textbook.......introductory Euclidean and Non-Euclidean........approximately 10th grade level...........thank you and gods bless
About the first example, I am confused. Shouldn't height be 32*sin(72), with 72 coming from 180-108?
The Sin of 72 is the same as the Sin of 108 or the Sin of -252. There is an infinite number of angles w/same Sin vale.
He has a video on the "Unit Circle" that will clear up any confusion. Very very good video.
@@simpleman283 thanks for replying. I did watch his video on the unit circle, but I didn't learn that two different sin angles can have the same value. What I learned was that a sin value and a cos value can be the same, as in sin(90)=cos(0).
Can you please direct me to material that explains things clearer?
@@krislegends Copy this & paste it in your youtube search bar.
08 - Calculate Sin, Cos & Tan w/ Unit Circle in Radians - Part 1
I never knew how much there really is to a triangle when I started studying it two years ago, but I have learned most of what I do know from this man right here.
@@krislegends Also check this one out
All 6 Trig Functions on the Unit Circle
by:
Beautiful Math
@@simpleman283 I will. 🙏
19:45
I am really enjoying from Jason lessons, but In this time I couldn't understand anything , he talks to fast ..
Sorry about that. Maybe slow down TH-cam to 0.75?
Wow, thanks.
Bangladesh 🇧🇩🇧🇩🇧🇩