Lukion taulukot/Trigonometristen funktioiden tarkkoja arvoja

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Trigonometristen funktioiden tarkkoja arvoja

Asteet	Radiaanit	sin	cos	tan	cot
0	0	0	1	0	$\mp \infty$
30	${\frac {\pi }{6}}\approx 0,5236$	${\frac {1}{2}}$	${\frac {\sqrt {3}}{2}}$	${\frac {1}{\sqrt {3}}}$	${\sqrt {3}}$
45	${\frac {\pi }{4}}\approx 0,7854$	${\frac {1}{\sqrt {2}}}$	${\frac {1}{\sqrt {2}}}$	1	1
60	${\frac {\pi }{3}}\approx 1,0472$	${\frac {\sqrt {3}}{2}}$	${\frac {1}{2}}$	${\sqrt {3}}$	${\frac {1}{\sqrt {3}}}$
90	${\frac {\pi }{2}}\approx 1,5708$	1	0	$\pm \infty$	0
120	${\frac {2\pi }{3}}\approx 2,0944$	${\frac {\sqrt {3}}{2}}$	$-{\frac {1}{2}}$	$-{\sqrt {3}}$	$-{\frac {1}{\sqrt {3}}}$
135	${\frac {3\pi }{4}}\approx 2,3562$	${\frac {1}{\sqrt {2}}}$	$-{\frac {1}{\sqrt {2}}}$	−1	−1
150	${\frac {5\pi }{6}}\approx 2,6180$	${\frac {1}{2}}$	$-{\frac {\sqrt {3}}{2}}$	$-{\frac {1}{\sqrt {3}}}$	$-{\sqrt {3}}$
180	$\pi \approx 3,1416$	0	−1	0	$\mp \infty$
210	${\frac {7\pi }{6}}\approx 3,6652$	$-{\frac {1}{2}}$	$-{\frac {\sqrt {3}}{2}}$	${\frac {1}{\sqrt {3}}}$	${\sqrt {3}}$
225	${\frac {5\pi }{4}}\approx 3,9270$	$-{\frac {1}{\sqrt {2}}}$	$-{\frac {1}{\sqrt {2}}}$	1	1
240	${\frac {4\pi }{3}}\approx 4,1888$	$-{\frac {\sqrt {3}}{2}}$	$-{\frac {1}{2}}$	${\sqrt {3}}$	${\frac {1}{\sqrt {3}}}$
270	${\frac {3\pi }{2}}\approx 4,7124$	−1	0	$\pm \infty$	0
300	${\frac {5\pi }{3}}\approx 5,2360$	$-{\frac {\sqrt {3}}{2}}$	${\frac {1}{2}}$	$-{\sqrt {3}}$	$-{\frac {1}{\sqrt {3}}}$
315	${\frac {7\pi }{4}}\approx 5,4978$	$-{\frac {1}{\sqrt {2}}}$	${\frac {1}{\sqrt {2}}}$	−1	−1
330	${\frac {11\pi }{6}}\approx 5,7596$	$-{\frac {1}{2}}$	${\frac {\sqrt {3}}{2}}$	$-{\frac {1}{\sqrt {3}}}$	$-{\sqrt {3}}$
360	$2\pi \approx 6,2832$	0	1	0	$\mp \infty$
18	${\frac {\pi }{10}}\approx 0,3142$	${\frac {1}{4}}({\sqrt {5}}-1)$	${\frac {1}{4}}{\sqrt {10+2{\sqrt {5}}}}$	${\frac {1}{5}}{\sqrt {25-10{\sqrt {5}}}}$	${\sqrt {5+2{\sqrt {5}}}}$
22,5	${\frac {\pi }{8}}\approx 0,3927$	${\frac {1}{2}}{\sqrt {2-{\sqrt {2}}}}$	${\frac {1}{2}}{\sqrt {2+{\sqrt {2}}}}$	${\sqrt {2}}-1$	${\sqrt {2}}+1$
36	${\frac {\pi }{5}}\approx 0,6283$	${\frac {1}{4}}{\sqrt {10-2{\sqrt {5}}}}$	${\frac {1}{4}}({\sqrt {5}}+1)$	${\sqrt {5-2{\sqrt {5}}}}$	${\frac {1}{5}}{\sqrt {25+10{\sqrt {5}}}}$
54	${\frac {3\pi }{10}}\approx 0,9425$	${\frac {1}{4}}({\sqrt {5}}+1)$	${\frac {1}{4}}{\sqrt {10-2{\sqrt {5}}}}$	${\frac {1}{5}}{\sqrt {25+10{\sqrt {5}}}}$	${\sqrt {5-2{\sqrt {5}}}}$
67,5	${\frac {3\pi }{8}}\approx 1,1781$	${\frac {1}{2}}{\sqrt {2+{\sqrt {2}}}}$	${\frac {1}{2}}{\sqrt {2-{\sqrt {2}}}}$	${\sqrt {2}}+1$	${\sqrt {2}}-1$
72	${\frac {2\pi }{5}}\approx 1,2566$	${\frac {1}{4}}{\sqrt {10+2{\sqrt {5}}}}$	${\frac {1}{4}}({\sqrt {5}}-1)$	${\sqrt {5+2{\sqrt {5}}}}$	${\frac {1}{5}}{\sqrt {25-10{\sqrt {5}}}}$