역삼각함수

사인/아크사인함수 덧셈정리의 적분표현

$\sin \left(\theta_1+\theta_2\right)=\sin \theta_1 \cos \theta_2 + \cos \theta_1 \sin \theta_2$

$\int_0^x{\frac{1}{\sqrt{1-x^2}}}dx+\int_0^y{\frac{1}{\sqrt{1-x^2}}}dx = \int_0^{x\sqrt{1-y^2}+y\sqrt{1-x^2}}{\frac{1}{\sqrt{1-x^2}}}dx$
탄젠트/아크탄젠트 함수 덧셈정리의 적분표현

$\tan(\theta_1+\theta_2)=\frac{\tan\theta_1+\tan\theta_2}{1-\tan\theta_1\tan\theta_2}$

$\arctan x+\arctan y = \arctan{\frac{x+y}{1-xy}}$

$\int_0^x \frac{dx}{1+x^2} + \int_0^y \frac{dx}{1+x^2} = \int_0^{\frac{x+y}{1-xy}} \frac{dx}{1+x^2}$

x>0 일 때,

$\arctan x+\arctan \frac{1}{x} = \frac{\pi}{2}$

$2(\arcsin x)^2=\sum_{n=1}^{\infty}\frac{(2x)^{2n}}{n^2\binom{2n}{n}}$

$\frac{2x \arcsin x}{\sqrt{1-x^2}}=\sum_{n=1}^{\infty}\frac{(2x)^{2n}}{n\binom{2n}{n}}$

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대한수학회 수학 학술 용어집
- http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=
남·북한수학용어비교
대한수학회 수학용어한글화 게시판

http://ko.wikipedia.org/wiki/
http://en.wikipedia.org/wiki/
http://www.wolframalpha.com/input/?i=
NIST Digital Library of Mathematical Functions
The On-Line Encyclopedia of Integer Sequences
- http://www.research.att.com/~njas/sequences/?q=