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Exakta värden på några vinklars trigonometriska funktioner

Deg	Rad	Sin	cos	tan	cot
0	0	0	1	0	$\pm \infty \hspace{10}^*$
15	$\frac{\pi}{12}$	$\frac{1}{4}$\sqrt{6}-\sqrt{2}$$	$\frac{1}{4}$\sqrt{6}+\sqrt{2}$$	$2-\sqrt{3}$	$2+\sqrt{3}$
30	$\frac{\pi}{6}$	$\frac{1}{2}$	$\frac{\sqrt{3}}{2}$	$\frac{1}{\sqrt{3}}$	$\sqrt{3}$
45	$\frac{\pi}{4}$	$\frac{1}{\sqrt{2}}$	$\frac{1}{\sqrt{2}}$	1	1
60	$\frac{\pi}{3}$	$\frac{\sqrt{3}}{2}$	$\frac{1}{2}$	$\sqrt{3}$	$\frac{1}{\sqrt{3}}$
75	$\frac{5\pi}{12}$	$\frac{1}{4}$\sqrt{6}+\sqrt{2}$$	$\frac{1}{4}$\sqrt{6}-\sqrt{2}$$	$2+\sqrt{3}$	$2-\sqrt{3}$
90	$\frac{\pi}{2}$	1	0	$\pm \infty \hspace{10}^*$	0
105	$\frac{7\pi}{12}$	$\frac{1}{4}$\sqrt{6}+\sqrt{2}$$	$-\frac{1}{4}$\sqrt{6}-\sqrt{2}$$	$-(2+\sqrt{3})$	$\sqrt{3}-2$
120	$\frac{2\pi}{3}$	$\frac{\sqrt{3}}{2}$	$-\frac{1}{2}$	$-\sqrt{3}$	$-\frac{1}{\sqrt{3}}$
135	$\frac{3\pi}{4}$	$\frac{1}{\sqrt{2}}$	$-\frac{1}{\sqrt{2}}$	-1	-1
150	$\frac{5\pi}{6}$	$\frac{1}{2}$	$-\frac{\sqrt{3}}{2}$	$-\frac{1}{\sqrt{3}}$	$-\sqrt{3}$
180	$\pi$	0	-1	0	$\pm \infty \hspace{10}^*$
195	$\frac{13\pi}{12}$	$-\frac{1}{4}$\sqrt{6}-\sqrt{2}$$	$-\frac{1}{4}$\sqrt{6}+\sqrt{2}$$	$2-\sqrt{3}$	$2+\sqrt{3}$
210	$\frac{7\pi}{6}$	$-\frac{1}{2}$	$\frac{-\sqrt{3}}{2}$	$\frac{1}{\sqrt{3}}$	$\sqrt{3}$
225	$\frac{5\pi}{4}$	$-\frac{1}{\sqrt{2}}$	$-\frac{1}{\sqrt{2}}$	1	1
240	$\frac{4\pi}{3}$	$-\frac{\sqrt{3}}{2}$	$-\frac{1}{2}$	$\sqrt{3}$	$\frac{1}{\sqrt{3}}$
270	$\frac{3\pi}{2}$	-1	0	$\pm \infty \hspace{10}^*$	0
285	$\frac{19\pi}{12}$	$-\frac{1}{4}$\sqrt{6}+\sqrt{2}$$	$\frac{1}{4}$\sqrt{6}-\sqrt{2}$$	$-(2+\sqrt{3})$	$\sqrt{3}-2$
300	$\frac{5\pi}{3}$	$-\frac{\sqrt{3}}{2}$	$\frac{1}{2}$	$-\sqrt{3}$	$-\frac{1}{\sqrt{3}}$
315	$\frac{7\pi}{4}$	$-\frac{1}{\sqrt{2}}$	$\frac{1}{\sqrt{2}}$	-1	-1
330	$\frac{11\pi}{6}$	$-\frac{1}{2}$	$\frac{\sqrt{3}}{2}$	$-\frac{1}{\sqrt{3}}$	$-\sqrt{3}$
345	$\frac{23\pi}{12}$	$-\frac{1}{4}$\sqrt{6}-\sqrt{2}$$	$\frac{1}{4}$\sqrt{6}+\sqrt{2}$$	$\sqrt{3}-2$	$-(2+\sqrt{3})$
360	$2\pi$	0	1	0	$\pm \infty \hspace{10}^*$

(*) Avser värdet på gränsvärdet till funktionen då vinkeln går mot angivet värde från vänster respektive höger.
För den exakt angivna vinkeln är funktionen odefinierad.

Deg	Rad	Sin	cos	tan	cot
0	0	0	1	0	$\pm \infty \hspace{10}^*$
15	$\frac{\pi}{12}$	$\frac{1}{4}\(\sqrt{6}-\sqrt{2}\)$	$\frac{1}{4}\(\sqrt{6}+\sqrt{2}\)$	$2-\sqrt{3}$	$2+\sqrt{3}$
30	$\frac{\pi}{6}$	$\frac{1}{2}$	$\frac{\sqrt{3}}{2}$	$\frac{1}{\sqrt{3}}$	$\sqrt{3}$
45	$\frac{\pi}{4}$	$\frac{1}{\sqrt{2}}$	$\frac{1}{\sqrt{2}}$	1	1
60	$\frac{\pi}{3}$	$\frac{\sqrt{3}}{2}$	$\frac{1}{2}$	$\sqrt{3}$	$\frac{1}{\sqrt{3}}$
75	$\frac{5\pi}{12}$	$\frac{1}{4}\(\sqrt{6}+\sqrt{2}\)$	$\frac{1}{4}\(\sqrt{6}-\sqrt{2}\)$	$2+\sqrt{3}$	$2-\sqrt{3}$
90	$\frac{\pi}{2}$	1	0	$\pm \infty \hspace{10}^*$	0
105	$\frac{7\pi}{12}$	$\frac{1}{4}\(\sqrt{6}+\sqrt{2}\)$	$-\frac{1}{4}\(\sqrt{6}-\sqrt{2}\)$	$-(2+\sqrt{3})$	$\sqrt{3}-2$
120	$\frac{2\pi}{3}$	$\frac{\sqrt{3}}{2}$	$-\frac{1}{2}$	$-\sqrt{3}$	$-\frac{1}{\sqrt{3}}$
135	$\frac{3\pi}{4}$	$\frac{1}{\sqrt{2}}$	$-\frac{1}{\sqrt{2}}$	-1	-1
150	$\frac{5\pi}{6}$	$\frac{1}{2}$	$-\frac{\sqrt{3}}{2}$	$-\frac{1}{\sqrt{3}}$	$-\sqrt{3}$
180	$\pi$	0	-1	0	$\pm \infty \hspace{10}^*$
195	$\frac{13\pi}{12}$	$-\frac{1}{4}\(\sqrt{6}-\sqrt{2}\)$	$-\frac{1}{4}\(\sqrt{6}+\sqrt{2}\)$	$2-\sqrt{3}$	$2+\sqrt{3}$
210	$\frac{7\pi}{6}$	$-\frac{1}{2}$	$\frac{-\sqrt{3}}{2}$	$\frac{1}{\sqrt{3}}$	$\sqrt{3}$
225	$\frac{5\pi}{4}$	$-\frac{1}{\sqrt{2}}$	$-\frac{1}{\sqrt{2}}$	1	1
240	$\frac{4\pi}{3}$	$-\frac{\sqrt{3}}{2}$	$-\frac{1}{2}$	$\sqrt{3}$	$\frac{1}{\sqrt{3}}$
270	$\frac{3\pi}{2}$	-1	0	$\pm \infty \hspace{10}^*$	0
285	$\frac{19\pi}{12}$	$-\frac{1}{4}\(\sqrt{6}+\sqrt{2}\)$	$\frac{1}{4}\(\sqrt{6}-\sqrt{2}\)$	$-(2+\sqrt{3})$	$\sqrt{3}-2$
300	$\frac{5\pi}{3}$	$-\frac{\sqrt{3}}{2}$	$\frac{1}{2}$	$-\sqrt{3}$	$-\frac{1}{\sqrt{3}}$
315	$\frac{7\pi}{4}$	$-\frac{1}{\sqrt{2}}$	$\frac{1}{\sqrt{2}}$	-1	-1
330	$\frac{11\pi}{6}$	$-\frac{1}{2}$	$\frac{\sqrt{3}}{2}$	$-\frac{1}{\sqrt{3}}$	$-\sqrt{3}$
345	$\frac{23\pi}{12}$	$-\frac{1}{4}\(\sqrt{6}-\sqrt{2}\)$	$\frac{1}{4}\(\sqrt{6}+\sqrt{2}\)$	$\sqrt{3}-2$	$-(2+\sqrt{3})$
360	$2\pi$	0	1	0	$\pm \infty \hspace{10}^*$