Wartości funkcji trygonometrycznych

Wartości funkcji trygonometrycznych dla pewnych kątów, które często występują w zadaniach

miara stopniowa 15° 30° 45° 60° 75° 90° 180° 270° 360°
miara łukowa 0 π12 π6 π4 π3 512π π2 π 32π 2π
                     
sinus α 0 6-24 12 22 32 6+24 1 0 -1 0
kosinus α 1 6+24 32 22 12 6-24 0 -1 0 1
tangens α 0 2-3 33 1 3 2+3 - 0 - 0
kotangens α - 2+3 3 1 33 2-3 0 - 0 -


Tablica wartości funkcji trygonometrycznych

αsinαcosαtgαctgα
010-
0.01750.99980.017557.29
0.03490.99940.034928.6363
0.05230.99860.052419.0811
0.06980.99760.069914.3007
0.08720.99620.087511.4301
0.10450.99450.10519.5144
0.12190.99250.12288.1443
0.13920.99030.14057.1154
0.15640.98770.15846.3138
10°0.17360.98480.17635.6713
11°0.19080.98160.19445.1446
12°0.20790.97810.21264.7046
13°0.2250.97440.23094.3315
14°0.24190.97030.24934.0108
15°0.25880.96590.26793.7321
16°0.27560.96130.28673.4874
17°0.29240.95630.30573.2709
18°0.3090.95110.32493.0777
19°0.32560.94550.34432.9042
20°0.3420.93970.3642.7475
21°0.35840.93360.38392.6051
22°0.37460.92720.4042.4751
23°0.39070.92050.42452.3559
24°0.40670.91350.44522.246
25°0.42260.90630.46632.1445
26°0.43840.89880.48772.0503
27°0.4540.8910.50951.9626
28°0.46950.88290.53171.8807
29°0.48480.87460.55431.804
30°0.50.8660.57741.7321
31°0.5150.85720.60091.6643
32°0.52990.8480.62491.6003
33°0.54460.83870.64941.5399
34°0.55920.8290.67451.4826
35°0.57360.81920.70021.4281
36°0.58780.8090.72651.3764
37°0.60180.79860.75361.327
38°0.61570.7880.78131.2799
39°0.62930.77710.80981.2349
40°0.64280.7660.83911.1918
41°0.65610.75470.86931.1504
42°0.66910.74310.90041.1106
43°0.6820.73140.93251.0724
44°0.69470.71930.96571.0355
45°0.70710.707111
αsinαcosαtgαctgα
45°0.70710.707111
46°0.71930.69471.03550.9657
47°0.73140.6821.07240.9325
48°0.74310.66911.11060.9004
49°0.75470.65611.15040.8693
50°0.7660.64281.19180.8391
51°0.77710.62931.23490.8098
52°0.7880.61571.27990.7813
53°0.79860.60181.3270.7536
54°0.8090.58781.37640.7265
55°0.81920.57361.42810.7002
56°0.8290.55921.48260.6745
57°0.83870.54461.53990.6494
58°0.8480.52991.60030.6249
59°0.85720.5151.66430.6009
60°0.8660.51.73210.5774
61°0.87460.48481.8040.5543
62°0.88290.46951.88070.5317
63°0.8910.4541.96260.5095
64°0.89880.43842.05030.4877
65°0.90630.42262.14450.4663
66°0.91350.40672.2460.4452
67°0.92050.39072.35590.4245
68°0.92720.37462.47510.404
69°0.93360.35842.60510.3839
70°0.93970.3422.74750.364
71°0.94550.32562.90420.3443
72°0.95110.3093.07770.3249
73°0.95630.29243.27090.3057
74°0.96130.27563.48740.2867
75°0.96590.25883.73210.2679
76°0.97030.24194.01080.2493
77°0.97440.2254.33150.2309
78°0.97810.20794.70460.2126
79°0.98160.19085.14460.1944
80°0.98480.17365.67130.1763
81°0.98770.15646.31380.1584
82°0.99030.13927.11540.1405
83°0.99250.12198.14430.1228
84°0.99450.10459.51440.1051
85°0.99620.087211.43010.0875
86°0.99760.069814.30070.0699
87°0.99860.052319.08110.0524
88°0.99940.034928.63630.0349
89°0.99980.017557.290.0175
90°10-0
matematyka » analiza » funkcje » rodzaje funkcji » funkcje trygonometryczne » wartości funkcji




gość logowanie

© 2014 Mariusz Śliwiński      mapa | o serwisie | kontakt | rss online: 13 drukuj