![\begin{align}
\tan x & {} = \sum_{n=0}^\infty \frac{U_{2n+1} x^{2n+1}}{(2n+1)!} \\[8pt]
& {} = \sum_{n=1}^\infty \frac{(-1)^{n-1} 2^{2n} (2^{2n}-1) B_{2n} x^{2n-1}}{(2n)!} \\[8pt]
& {} = x + \tfrac{1}{3}x^3 + \tfrac{2}{15}x^5 + \tfrac{17}{315}x^7 + \cdots, \qquad \text{for } |x| < \frac{\pi}{2}.
\end{align}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uZJ68ovvnDWkkCQ7_zRApi59JFRyevKswCMjE-ABcd7zqN_4x2X4kNzlyqJNjItzXKIITWfi1p3wSAobzQx_kIPR_MiH2aHqZYsoHhJ7Ec29ql7MBB7SAMxkBxAIhGnHeAeXzoh1eRjD6vv5BhMg=s0-d)
Okay well, so much for trigonometric functions. I guess the radians aren't so significant.
NOW, to another subject:
HOW TO DRAW... Manga Eyes.
For those who don't know what manga is, its a style of Japanese drawing. Like Dragon Ball Z, or Pokemon or something... So I spent a couple hours drawing this:
Yep... That's manga... See the style in the eye? That's what I will teach you today.1: Draw the Oval, that will be your eye.
2: Draw a large arch above the eye, but still touching it. And a smaller, thinner arch below. (see above)
3: Fill the Eye in with black, but keep a circle in the top left corner white, and a smaller circle to the bottom right of the first.
4. One curve of the eye will be colored, and is shaped as an arch, but can continue up to the white circles. (see green on above eye)
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