Wartości funkcji trygonometrycznych

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Wartości funkcji trygonometrycznych

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

miara stopniowa	0°	15°	30°	45°	60°	75°	90°	180°	270°	360°
miara łukowa	0	$\frac{π}{12}$	$\frac{π}{6}$	$\frac{π}{4}$	$\frac{π}{3}$	$\frac{5}{12} π$	$\frac{π}{2}$	$π$	$\frac{3}{2} π$	$2 π$

sinus α	0	$\frac{\sqrt{6} - \sqrt{2}}{4}$	$\frac{1}{2}$	$\frac{\sqrt{2}}{2}$	$\frac{\sqrt{3}}{2}$	$\frac{\sqrt{6} + \sqrt{2}}{4}$	$1$	$0$	$- 1$	$0$
kosinus α	1	$\frac{\sqrt{6} + \sqrt{2}}{4}$	$\frac{\sqrt{3}}{2}$	$\frac{\sqrt{2}}{2}$	$\frac{1}{2}$	$\frac{\sqrt{6} - \sqrt{2}}{4}$	$0$	$- 1$	$0$	$1$
tangens α	0	$2 - \sqrt{3}$	$\frac{\sqrt{3}}{3}$	1	$\sqrt{3}$	$2 + \sqrt{3}$	-	0	-	0
kotangens α	-	$2 + \sqrt{3}$	$\sqrt{3}$	1	$\frac{\sqrt{3}}{3}$	$2 - \sqrt{3}$	0	-	0	-

Tablica wartości funkcji trygonometrycznych

α	sinα	cosα	tgα	ctgα
0°	0	1	0	-
1°	0.0175	0.9998	0.0175	57.29
2°	0.0349	0.9994	0.0349	28.6363
3°	0.0523	0.9986	0.0524	19.0811
4°	0.0698	0.9976	0.0699	14.3007
5°	0.0872	0.9962	0.0875	11.4301
6°	0.1045	0.9945	0.1051	9.5144
7°	0.1219	0.9925	0.1228	8.1443
8°	0.1392	0.9903	0.1405	7.1154
9°	0.1564	0.9877	0.1584	6.3138
10°	0.1736	0.9848	0.1763	5.6713
11°	0.1908	0.9816	0.1944	5.1446
12°	0.2079	0.9781	0.2126	4.7046
13°	0.225	0.9744	0.2309	4.3315
14°	0.2419	0.9703	0.2493	4.0108
15°	0.2588	0.9659	0.2679	3.7321
16°	0.2756	0.9613	0.2867	3.4874
17°	0.2924	0.9563	0.3057	3.2709
18°	0.309	0.9511	0.3249	3.0777
19°	0.3256	0.9455	0.3443	2.9042
20°	0.342	0.9397	0.364	2.7475
21°	0.3584	0.9336	0.3839	2.6051
22°	0.3746	0.9272	0.404	2.4751
23°	0.3907	0.9205	0.4245	2.3559
24°	0.4067	0.9135	0.4452	2.246
25°	0.4226	0.9063	0.4663	2.1445
26°	0.4384	0.8988	0.4877	2.0503
27°	0.454	0.891	0.5095	1.9626
28°	0.4695	0.8829	0.5317	1.8807
29°	0.4848	0.8746	0.5543	1.804
30°	0.5	0.866	0.5774	1.7321
31°	0.515	0.8572	0.6009	1.6643
32°	0.5299	0.848	0.6249	1.6003
33°	0.5446	0.8387	0.6494	1.5399
34°	0.5592	0.829	0.6745	1.4826
35°	0.5736	0.8192	0.7002	1.4281
36°	0.5878	0.809	0.7265	1.3764
37°	0.6018	0.7986	0.7536	1.327
38°	0.6157	0.788	0.7813	1.2799
39°	0.6293	0.7771	0.8098	1.2349
40°	0.6428	0.766	0.8391	1.1918
41°	0.6561	0.7547	0.8693	1.1504
42°	0.6691	0.7431	0.9004	1.1106
43°	0.682	0.7314	0.9325	1.0724
44°	0.6947	0.7193	0.9657	1.0355
45°	0.7071	0.7071	1	1

α	sinα	cosα	tgα	ctgα
45°	0.7071	0.7071	1	1
46°	0.7193	0.6947	1.0355	0.9657
47°	0.7314	0.682	1.0724	0.9325
48°	0.7431	0.6691	1.1106	0.9004
49°	0.7547	0.6561	1.1504	0.8693
50°	0.766	0.6428	1.1918	0.8391
51°	0.7771	0.6293	1.2349	0.8098
52°	0.788	0.6157	1.2799	0.7813
53°	0.7986	0.6018	1.327	0.7536
54°	0.809	0.5878	1.3764	0.7265
55°	0.8192	0.5736	1.4281	0.7002
56°	0.829	0.5592	1.4826	0.6745
57°	0.8387	0.5446	1.5399	0.6494
58°	0.848	0.5299	1.6003	0.6249
59°	0.8572	0.515	1.6643	0.6009
60°	0.866	0.5	1.7321	0.5774
61°	0.8746	0.4848	1.804	0.5543
62°	0.8829	0.4695	1.8807	0.5317
63°	0.891	0.454	1.9626	0.5095
64°	0.8988	0.4384	2.0503	0.4877
65°	0.9063	0.4226	2.1445	0.4663
66°	0.9135	0.4067	2.246	0.4452
67°	0.9205	0.3907	2.3559	0.4245
68°	0.9272	0.3746	2.4751	0.404
69°	0.9336	0.3584	2.6051	0.3839
70°	0.9397	0.342	2.7475	0.364
71°	0.9455	0.3256	2.9042	0.3443
72°	0.9511	0.309	3.0777	0.3249
73°	0.9563	0.2924	3.2709	0.3057
74°	0.9613	0.2756	3.4874	0.2867
75°	0.9659	0.2588	3.7321	0.2679
76°	0.9703	0.2419	4.0108	0.2493
77°	0.9744	0.225	4.3315	0.2309
78°	0.9781	0.2079	4.7046	0.2126
79°	0.9816	0.1908	5.1446	0.1944
80°	0.9848	0.1736	5.6713	0.1763
81°	0.9877	0.1564	6.3138	0.1584
82°	0.9903	0.1392	7.1154	0.1405
83°	0.9925	0.1219	8.1443	0.1228
84°	0.9945	0.1045	9.5144	0.1051
85°	0.9962	0.0872	11.4301	0.0875
86°	0.9976	0.0698	14.3007	0.0699
87°	0.9986	0.0523	19.0811	0.0524
88°	0.9994	0.0349	28.6363	0.0349
89°	0.9998	0.0175	57.29	0.0175
90°	1	0	-	0

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