Find the SIN (60 degrees) Without a CALCULATOR

TabletClass Math:


Math Notes:

[jhgoh]

Use an equilateral triangle of sides = 2 with each angle = 60 deg.
Drop a perpendicular from any point to the opposite base, this perpendicular will bisect the angle and side exactly in half.
You then have a right-angle triangle of 30, 60 and 90 deg with the hypotenuse = 2, the side opposite 30 deg angle = 1 (bisected in half). Applying Pythagorean Theorem, the side opposite 60 deg = (sq root 3).
Hence, Sin (60 deg) = Opposite / Hypotenuse
= (sq root 3) / 2.

[MrRod]

This incessant babbling caused a flashback to first year trig, when a woman who must have been your grandmother gave an equally disjointed and rambling lecture on sine, cosine, and tangent. Just because you can do math doesn’t mean you can teach it. Fortunately I found a handbook in the university bookstore that finally clarified things. Schaum’s Outline, I believe it was called. Link to it and save us all a lot of grief.

[johncoleman]

I never took geometry or trigonometry in high school or college. I did take algebra and business math in high school and algebra in college, however, the highest mathematics class I took in college was finite mathematics, and statistics. But my point, is that I felt that your explanation is very good. I always believed in taking good notes in any subject.

[Nikioko]

sin 60° = height of equilateral triangle / side length of equilateral triangle = √3/2 • a / a = √3/2

[marcfruchtman]

I really like the explanation of how to solve for Sin(60), tho, it might be better to have led with the Triangle and explained what the Sine of a function really is first before graphing it.
Thanks for the video.

[hikmetullahcevik]

you are just saying its√3/2 because it is √3/2. There is no definition or proof. I already know sin(60) but that doesn't mean I found sin(60). I just memorized like everybody else. I want to know how to evaluate sin without memorizing sin values or specific triangles.

[accaciagame]

Straight to the point. Filter out the crap.

[trexsol]

its hard for me to take notes, i try but i end up convincing myself that i don't need to (which has been true for me but thats not the point and also doesn't help my complex). I know at some point i will really need to.

[harrietcallahan]

Homeschool science teacher. Will suggest your videos. Thanks

[andy_]

if you use the UNIT CIRCLE, it shows the Hypotenuse of this triangle as 1...this way is a lil confusing

[rp-wdnq]

this guy makes a 16 minute video and doesn't explain the point of the video until 14+ minutes in. damn.

[luckyhiker]

You have great lessons but when you were referring the definition of sine you mistakenly used the the term “angle” instead of the correct term “side.” I just thought this should be corrected.

[robloxcutter]

Why do so many steps? Just search sin60 deg and you will find it on your screen

[markjakeway]

You didn't show where those numbers, 1, 2 and root 3 came from? Totally confusing. You should have started with an equilateral triangle of side 2 and shown where the came from. This just looks like magic otherwise, you just plucked them out of nowhere.

[zecchh]

Now it's stuck in my brain, I no longer have brain damage

[xviewmytubex]

I have a question about PEMDAS (LR). Is this the only way to calculate multiple operation equations/formulas? I'm asking here because since this is like 5th grade level math the results I got searching here are from 6 years forward, and I don't think the owners would respond if I inquired on such old videos. Appreciate the help, anyone's! Thanks! =).

[Gd_Monsterforce]

If you actually think about it then 360° is 0°

[sneh.]

I’m taking grade 11 physics and I’m in grade 10. I have no clue what Sin and Cos are. And what Soh Cah Toa is

[emiliojr.cabandon]

YOU CAN FIND IT IN JUST A SECOND BY USING YOUR FINGERS? YOU DON'T KNOW THAT YET?

[TheLangko]

8 minutes of wasted time on the front of this video