# Lukion taulukot/Trigonometristen funktioiden tarkkoja arvoja

## Trigonometristen funktioiden tarkkoja arvoja

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