Trigonometria

		sinα=cat.op.hip.${\displaystyle \sin \alpha =\frac{cat.op.}{hip.}}$	cat.op.${\displaystyle cat.op.}$: cateto oposto hip.${\displaystyle hip.}$: hipotenusa
		cosα=cat.adj.hip.${\displaystyle \cos \alpha =\frac{cat.adj.}{hip.}}$	cat.adj.${\displaystyle cat.adj.}$: cateto adjacente hip.${\displaystyle hip.}$: hipotenusa
		tanα=cat.op.cat.adj.${\displaystyle \tan \alpha =\frac{cat.op.}{cat.adj.}}$	cat.op.${\displaystyle cat.op.}$: cateto oposto cat.adj.${\displaystyle cat.adj.}$: cateto adjacente
	sin2α+cos2α=1${\displaystyle {\sin }^2\alpha +{\cos }^2\alpha =1}$	tanα=sinαcosα${\displaystyle \tan \alpha =\frac{\sin \alpha }{\cos \alpha }}$	tan2α+1=1cos2α${\displaystyle {\tan }^2\alpha +1=\frac{1}{{\cos }^2\alpha }}$
		Lei dos Senos (ou Analogia dos Senos)	sinAa=sinBb=sinCc${\displaystyle \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}}$
		Lei dos Cossenos (ou Teorema de Carnot)	a2=b2+c2−2bccosA${\displaystyle a^2=b^2+c^2-2bc\cos A}$
		Fórmula de Herão	A=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√${\displaystyle A=\sqrt{s(s-a)(s-b)(s-c)}}$ s=a+b+c2${\displaystyle s=\frac{a+b+c}{2}}$
	sin(π6)=12${\displaystyle \sin \left(\frac{\pi }{6}\right)=\frac{1}{2}}$	cos(π6)=3–√2${\displaystyle \cos \left(\frac{\pi }{6}\right)=\frac{\sqrt{3}}{2}}$	tan(π6)=3–√3${\displaystyle \tan \left(\frac{\pi }{6}\right)=\frac{\sqrt{3}}{3}}$
	sin(π4)=2–√2${\displaystyle \sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}}$	cos(π4)=2–√2${\displaystyle \cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}}$	tan(π4)=1${\displaystyle \tan \left(\frac{\pi }{4}\right)=1}$
	sin(π3)=3–√2${\displaystyle \sin \left(\frac{\pi }{3}\right)=\frac{\sqrt{3}}{2}}$	cos(π3)=12${\displaystyle \cos \left(\frac{\pi }{3}\right)=\frac{1}{2}}$	tan(π3)=3–√${\displaystyle \tan \left(\frac{\pi }{3}\right)=\sqrt{3}}$
	sin(−α)=−sinα${\displaystyle \sin (-\alpha )=-\sin \alpha }$	cos(−α)=cosα${\displaystyle \cos (-\alpha )=\cos \alpha }$	tan(−α)=−tanα${\displaystyle \tan (-\alpha )=-\tan \alpha }$
	sin(π−α)=sinα${\displaystyle \sin (\pi -\alpha )=\sin \alpha }$	cos(π−α)=−cosα${\displaystyle \cos (\pi -\alpha )=-\cos \alpha }$	tan(π−α)=−tanα${\displaystyle \tan (\pi -\alpha )=-\tan \alpha }$
	sin(π+α)=−sinα${\displaystyle \sin (\pi +\alpha )=-\sin \alpha }$	cos(π+α)=−cosα${\displaystyle \cos (\pi +\alpha )=-\cos \alpha }$	tan(π+α)=tanα${\displaystyle \tan (\pi +\alpha )=\tan \alpha }$
	sin(π2−α)=cosα${\displaystyle \sin (\frac{\pi }{2}-\alpha )=\cos \alpha }$	cos(π2−α)=sinα${\displaystyle \cos (\frac{\pi }{2}-\alpha )=\sin \alpha }$	tan(π2−α)=1tanα${\displaystyle \tan (\frac{\pi }{2}-\alpha )=\frac{1}{\tan \alpha }}$
	sin(π2+α)=cosα${\displaystyle \sin (\frac{\pi }{2}+\alpha )=\cos \alpha }$	cos(π2+α)=−sinα${\displaystyle \cos (\frac{\pi }{2}+\alpha )=-\sin \alpha }$	tan(π2+α)=−1tanα${\displaystyle \tan (\frac{\pi }{2}+\alpha )=-\frac{1}{\tan \alpha }}$
	sin(3π2−α)=−cosα${\displaystyle \sin (\frac{3\pi }{2}-\alpha )=-\cos \alpha }$	cos(3π2−α)=−sinα${\displaystyle \cos (\frac{3\pi }{2}-\alpha )=-\sin \alpha }$	tan(3π2−α)=1tanα${\displaystyle \tan (\frac{3\pi }{2}-\alpha )=\frac{1}{\tan \alpha }}$
	sin(3π2+α)=−cosα${\displaystyle \sin (\frac{3\pi }{2}+\alpha )=-\cos \alpha }$	cos(3π2+α)=sinα${\displaystyle \cos (\frac{3\pi }{2}+\alpha )=\sin \alpha }$	tan(3π2+α)=−1tanα${\displaystyle \tan (\frac{3\pi }{2}+\alpha )=-\frac{1}{\tan \alpha }}$
	sinx=sinα⇔x=α+2kπ∨x=π−α+2kπ,k∈Z${\displaystyle \sin x=\sin \alpha \iff x=\alpha +2k\pi \vee x=\pi -\alpha +2k\pi ,k\in \mathbb{Z}}$
	cosx=cosα⇔x=α+2kπ∨x=−α+2kπ,k∈Z${\displaystyle \cos x=\cos \alpha \iff x=\alpha +2k\pi \vee x=-\alpha +2k\pi ,k\in \mathbb{Z}}$
	tanx=tanα⇔x=α+kπ,k∈Z${\displaystyle \tan x=\tan \alpha \iff x=\alpha +k\pi ,k\in \mathbb{Z}}$
	sin(a+b)=sina×cosb+sinb×cosa${\displaystyle \sin (a+b)=\sin a\times \cos b+\sin b\times \cos a}$
	cos(a+b)=cosa×cosb−sina×sinb${\displaystyle \cos (a+b)=\cos a\times \cos b-\sin a\times \sin b}$
	tan(a+b)=tana+tanb1−tana×tanb${\displaystyle \tan (a+b)=\frac{\tan a+\tan b}{1-\tan a\times \tan b}}$
	sin(a−b)=sina×cosb−sinb×cosa${\displaystyle \sin (a-b)=\sin a\times \cos b-\sin b\times \cos a}$
	cos(a−b)=cosa×cosb+sina×sinb${\displaystyle \cos (a-b)=\cos a\times \cos b+\sin a\times \sin b}$
	tan(a−b)=tana−tanb1+tana×tanb${\displaystyle \tan (a-b)=\frac{\tan a-\tan b}{1+\tan a\times \tan b}}$
	sin(2a)=2×sina×cosa${\displaystyle \sin \left(2a\right)=2\times \sin a\times \cos a}$
	cos(2a)=cos2a−sin2a${\displaystyle \cos \left(2a\right)={\cos }^{2}a-{\sin }^{2}a}$
	tan(2a)=2×tana1−tan2a