There's been a Twitter exchange between the Gematrinator and someone known as space_station. This is mathematically related. And I'll break it down starting with the version you don't really need to know math for. Then there will be an upgrade. Then, a final version you can ignore.
The history of this is the insistence that the circle is The Mark of The Beast. Keep that in mind. Circle. Pi. 666 the number of the beast. Space Station, a Mir (groan?) follower of the masterful Gematrinator's work noticed that sin(666)= 1/2 the Golden Ratio. So, Derek brushed up on his trig, as he says and explains how sines, cosines and the number 36 are important to the golden ratio and this 1/2 value.
The short answer:
Oh, you really didn't want to say that, did you? Are you daring me to notice? Ok, I'll bite. You don't need to understand the math. Words are part of the gematria system. TRIG. TRIGONOMETRY. What do you think the tri- prefix means? TRIANGLE. Trigonometry is the study of the relationships of sides and angles in TRIANGLES. Not circles. Ooops.
A longer, more mathy answer
As I've said before busting on this insistence of 360 degrees meaning circles, a four sided shape also has 360 degrees. If you split a square in half along the diagonal, you get two right triangles. A right triangle has 180 degrees total. In trig, you are studying the 180 degrees of a triangle. 90 degrees is sucked up by the right angle, symbolically noted as a half square symbol in a drawing. The other angles are complementary angles (not complimentary like the ciphers in Hubbard's unedited book chapter list). They must total 90 degrees between them. 90+90=180. The sine and cosine functions relate to themselves and each other based on the angles other than the 90 degree angle, like here:
http://i.pinimg.com/736x/34/7a/9b/347a9b83299641e2a4b0423e5a3d59b6.jpg
The final, more mathier answer.
You should check the Gematrinator tweet for the details of 36, 54, 180 numbers. The numbers including the Golden Ratio tie in aren't wrong. But it sounds like a half assed answer stumbled into by entering values into a calculator with trig functions (or like when I was in trig class, a table of values at the back of a book).
I'm still not going to go full bore math here. You can do it on your own or be bored and ignore as you choose. 36 and 54 are the complementary angles of a right triangle. They are in a ratio of a nice even 2:3. See the three? Like, 1+2=3? Everything is actually more accurately described as relating to the number 180, as everything in triangles is. Play around with sine and cosine values and the values are repetitive in blocks of 180 degrees. Note that even sin(666) in the original question/narrative is a negative number.
The golden ratio relates to a square with a rectangle attached like here:
https://upload.wikimedia.org/wikipedia/en/3/3c/Golden_Rectangle_Construction.png
Don't worry about anything except noticing that the square root of 5 is divided by two. A square is two triangles. Halving a square into a triangle essentially makes the math a division by another half. That's why the math works out. The only pair of complementary angles totaling 90 degrees that fulfills the golden ratio and golden rectangle requirements is 36/54.
Beyond this we're starting to get into math beyond trigonometry. But notice the distinct omissions. Nowhere do you need Pi or circles to explain this. It's all triangles. And just yesterday I saw a comment where the Gematrinator defended a video by saying he's one of the smartest people you'll meet. Kinda think a really smart person would know that trig relates to triangles. At least a really smart person studying "sacred geometry" dealing with words, which have etymological roots in other words.
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