OGATA Tetsuji (@xtetsuji)
2016/09/14 Gaiax
https://flic.kr/p/9R7KgP

• / / OGATA Tetsuji
• @xtetsuji
• Blog: http://post.tetsuji.jp/
• RND

• DevOps PaaS
• OS
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Traditional Infra Engineer

Traditional Infra Engineer
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• Linux
• OS
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It is Japanese traditional
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What is this?
Japanese traditional

Japanese traditional

http://togetter.com/li/1018122

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http://post.tetsuji.jp/2016/08/question-what-is-math-useful/

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2 OK
a
sin A
=
b
sin B
=
c
sin C
= 2R
c2
= a2
+ b2
2ab cos C

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sin( ✓) = sin ✓
cos( ✓) = cos ✓
tan ✓ =
sin ✓
cos ✓
cos2
✓ + sin2
✓ = 1

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sin ✓ = x () arcsin x = ✓
cos ✓ = x () arccos x = ✓

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sin(↵ ± ) = sin ↵ cos ± cos ↵ sin
cos(↵ ± ) = cos ↵ cos ⌥ sin ↵ sin

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2

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cos(a ± b) = cos a cos b ⌥ sin a sin b
sin(a ± b) = sin a cos b ± cos a sin b

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z = cos ↵ + i sin ↵
w = cos + i sin
wz = (cos ↵ + i sin ↵)(cos + i sin )
= cos(↵ + ) + i sin(↵ + )

T =
✓
cos sin
sin cos
◆
z =
✓
cos ↵
sin ↵
◆
Tz =
✓
cos ↵ cos sin ↵ sin
sin ↵ cos + cos ↵ sin
◆
=
✓
cos(↵ + )
sin(↵ + )
◆

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• x
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eix
= cos x + i sin x

• sin cos
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cos x =
eix
+ e ix
2
sin x =
eix
e ix
2i
cos(↵ + ), sin(↵ + )

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• sin, cos n
• sin, cos n
• sin 1
lim
h!0
sin(x + h) sin x
h

lim
h!0
sin(x + h) sin x
h

• 1 sin(x + h)
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• sin(x)f 1
(x)f(x) =
Z x
0
dt
p
1 t2

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• sin(x)
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• e^ix

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• GPS Pokémon GO

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• TIE = Traditional Infra Engineer
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