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NUMEERISIA TAULUKOITA 77

Trigonometristen funktioiden tarkkoja arvoja

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