16. 三角函数
关于正弦函数(sin)和余弦函数(cos),正切函数(tan),余割函数(cos),正割函数(sec),余切函数(cot),表示了在0~90度时的值。
θ゜ | θ(rad) | sinθ | cosθ | tanθ | cosecθ | secθ | cotθ |
---|---|---|---|---|---|---|---|
0 |
0.0000 |
0 |
1.0000 |
0 |
∞ |
1.0000 |
∞ |
1 |
0.0175 |
0.0175 |
0.9998 |
0.0175 |
57.3066 |
1.0002 |
57.3008 |
2 |
0.0349 |
0.0349 |
0.9994 |
0.0349 |
28.6533 |
1.0006 |
28.6334 |
3 |
0.0524 |
0.0523 |
0.9986 |
0.0524 |
19.1058 |
1.0014 |
19.0811 |
4 |
0.0698 |
0.0698 |
0.9976 |
0.0699 |
14.3349 |
1.0024 |
14.3013 |
5 |
0.0873 |
0.0872 |
0.9962 |
0.0875 |
11.4732 |
1.0038 |
11.4296 |
6 |
0.1047 |
0.1045 |
0.9945 |
0.1051 |
9.5666 |
1.0055 |
9.5143 |
7 |
0.1222 |
0.1219 |
0.9925 |
0.1228 |
8.2055 |
1.0075 |
8.1446 |
8 |
0.1396 |
0.1392 |
0.9903 |
0.1405 |
7.1855 |
1.0098 |
7.1152 |
9 |
0.1571 |
0.1564 |
0.9877 |
0.1584 |
6.3926 |
1.0125 |
6.3137 |
10 |
0.1745 |
0.1737 |
0.9848 |
0.1763 |
5.7587 |
1.0154 |
5.6714 |
11 |
0.1920 |
0.1908 |
0.9816 |
0.1944 |
5.2408 |
1.0187 |
5.1445 |
12 |
0.2094 |
0.2079 |
0.9781 |
0.2126 |
4.8098 |
1.0223 |
4.7046 |
13 |
0.2269 |
0.2250 |
0.9744 |
0.2309 |
4.4454 |
1.0263 |
4.3315 |
14 |
0.2444 |
0.2419 |
0.9703 |
0.2493 |
4.1336 |
1.0306 |
4.0107 |
15 |
0.2618 |
0.2588 |
0.9659 |
0.2679 |
3.8637 |
1.0353 |
3.7320 |
16 |
0.2793 |
0.2756 |
0.9613 |
0.2867 |
3.6279 |
1.0403 |
3.4874 |
17 |
0.2967 |
0.2924 |
0.9563 |
0.3057 |
3.4203 |
1.0457 |
3.2708 |
18 |
0.3142 |
0.3090 |
0.9511 |
0.3249 |
3.2360 |
1.0515 |
3.0777 |
19 |
0.3316 |
0.3256 |
0.9455 |
0.3443 |
3.0715 |
1.0576 |
2.9042 |
20 |
0.3491 |
0.3420 |
0.9397 |
0.3640 |
2.9238 |
1.0642 |
2.7474 |
21 |
0.3665 |
0.3584 |
0.9336 |
0.3839 |
2.7904 |
1.0711 |
2.6051 |
22 |
0.3840 |
0.3746 |
0.9272 |
0.4040 |
2.6694 |
1.0785 |
2.4751 |
23 |
0.4014 |
0.3907 |
0.9205 |
0.4245 |
2.5593 |
1.0864 |
2.3558 |
24 |
0.4189 |
0.4067 |
0.9135 |
0.4452 |
2.4586 |
1.0946 |
2.2460 |
25 |
0.4363 |
0.4226 |
0.9063 |
0.4663 |
2.3662 |
1.1034 |
2.1445 |
26 |
0.4538 |
0.4384 |
0.8988 |
0.4877 |
2.2812 |
1.1126 |
2.0503 |
27 |
0.4712 |
0.4540 |
0.8910 |
0.5095 |
2.2027 |
1.1223 |
1.9626 |
28 |
0.4887 |
0.4695 |
0.8829 |
0.5317 |
2.1301 |
1.1326 |
1.8807 |
29 |
0.5062 |
0.4848 |
0.8746 |
0.5543 |
2.0627 |
1.1434 |
1.8040 |
30 |
0.5236 |
0.5000 |
0.8660 |
0.5774 |
2.0000 |
1.1547 |
1.7320 |
31 |
0.5411 |
0.5150 |
0.8572 |
0.6009 |
1.9416 |
1.1666 |
1.6643 |
32 |
0.5585 |
0.5299 |
0.8480 |
0.6249 |
1.8871 |
1.1792 |
1.6003 |
33 |
0.5760 |
0.5446 |
0.8387 |
0.6494 |
1.8361 |
1.1924 |
1.5399 |
34 |
0.5934 |
0.5592 |
0.8290 |
0.6745 |
1.7883 |
1.2062 |
1.4826 |
35 |
0.6109 |
0.5736 |
0.8191 |
0.7002 |
1.7434 |
1.2208 |
1.4281 |
36 |
0.6283 |
0.5878 |
0.8090 |
0.7265 |
1.7013 |
1.2361 |
1.3764 |
37 |
0.6458 |
0.6018 |
0.7986 |
0.7536 |
1.6616 |
1.2521 |
1.3270 |
38 |
0.6632 |
0.6157 |
0.7880 |
0.7813 |
1.6243 |
1.2690 |
1.2799 |
39 |
0.6807 |
0.6293 |
0.7771 |
0.8098 |
1.5890 |
1.2868 |
1.2349 |
40 |
0.6981 |
0.6428 |
0.7660 |
0.8391 |
1.5557 |
1.3054 |
1.1918 |
41 |
0.7156 |
0.6561 |
0.7547 |
0.8693 |
1.5243 |
1.3250 |
1.1504 |
42 |
0.7330 |
0.6691 |
0.7431 |
0.9004 |
1.4945 |
1.3456 |
1.1106 |
43 |
0.7505 |
0.6820 |
0.7314 |
0.9325 |
1.4663 |
1.3673 |
1.0724 |
44 |
0.7679 |
0.6947 |
0.7193 |
0.9657 |
1.4396 |
1.3902 |
1.0355 |
45 |
0.7854 |
0.7071 |
0.7071 |
1.0000 |
1.4142 |
1.4142 |
1.0000 |
46 |
0.8029 |
0.7193 |
0.6947 |
1.0355 |
1.3902 |
1.4396 |
0.9657 |
47 |
0.8203 |
0.7314 |
0.6820 |
1.0724 |
1.3673 |
1.4663 |
0.9325 |
48 |
0.8378 |
0.7431 |
0.6691 |
1.1106 |
1.3456 |
1.4945 |
0.9004 |
49 |
0.8552 |
0.7547 |
0.6561 |
1.1504 |
1.3250 |
1.5243 |
0.8693 |
50 |
0.8727 |
0.7660 |
0.6428 |
1.1917 |
1.3054 |
1.5557 |
0.8391 |
51 |
0.8901 |
0.7771 |
0.6293 |
1.2349 |
1.2868 |
1.5890 |
0.8098 |
52 |
0.9076 |
0.7880 |
0.6156 |
1.2800 |
1.2690 |
1.6243 |
0.7812 |
53 |
0.9250 |
0.7986 |
0.6018 |
1.3270 |
1.2521 |
1.6616 |
0.7536 |
54 |
0.9245 |
0.8090 |
0.5878 |
1.3764 |
1.2361 |
1.7013 |
0.7265 |
55 |
0.9599 |
0.8192 |
0.5736 |
1.4281 |
1.2208 |
1.7434 |
0.7002 |
56 |
0.9774 |
0.8290 |
0.5592 |
1.4825 |
1.2062 |
1.7883 |
0.6745 |
57 |
0.9948 |
0.8387 |
0.5446 |
1.5399 |
1.1924 |
1.8361 |
0.6494 |
58 |
1.0123 |
0.8480 |
0.5299 |
1.6003 |
1.1792 |
1.8871 |
0.6249 |
59 |
1.0297 |
0.8572 |
0.5150 |
1.6643 |
1.1666 |
1.9416 |
0.6009 |
60 |
1.0472 |
0.8660 |
0.5000 |
1.7321 |
1.1547 |
2.0000 |
0.5773 |
61 |
1.0647 |
0.8746 |
0.4848 |
1.8040 |
1.1434 |
2.0627 |
0.5543 |
62 |
1.0821 |
0.8829 |
0.4695 |
1.8807 |
1.1326 |
2.1300 |
0.5317 |
63 |
1.0996 |
0.8910 |
0.4540 |
1.9626 |
1.1223 |
2.2027 |
0.5095 |
64 |
1.1170 |
0.8988 |
0.4384 |
2.0503 |
1.1126 |
2.2812 |
0.4877 |
65 |
1.1345 |
0.9063 |
0.4226 |
2.1447 |
1.1034 |
2.3664 |
0.4663 |
66 |
1.1519 |
0.9135 |
0.4067 |
2.2461 |
1.0946 |
2.4586 |
0.4452 |
67 |
1.1694 |
0.9205 |
0.3907 |
2.3560 |
1.0863 |
2.5595 |
0.4244 |
68 |
1.1868 |
0.9272 |
0.3746 |
2.4751 |
1.0785 |
2.6694 |
0.4040 |
69 |
1.2043 |
0.9336 |
0.3584 |
2.6051 |
1.0711 |
2.7904 |
0.3839 |
70 |
1.2217 |
0.9397 |
0.3420 |
2.7475 |
1.0642 |
2.9238 |
0.3640 |
71 |
1.2392 |
0.9455 |
0.3256 |
2.9042 |
1.0576 |
3.0715 |
0.3443 |
72 |
1.2566 |
0.9511 |
0.3090 |
3.0777 |
1.0515 |
3.2361 |
0.3249 |
73 |
1.2741 |
0.9563 |
0.2924 |
3.2710 |
1.0457 |
3.4204 |
0.3057 |
74 |
1.2915 |
0.9613 |
0.2756 |
3.4874 |
1.0403 |
3.6279 |
0.2867 |
75 |
1.3090 |
0.9659 |
0.2588 |
3.7321 |
1.0353 |
3.8637 |
0.2679 |
76 |
1.3265 |
0.9703 |
0.2419 |
4.0108 |
1.0306 |
4.1336 |
0.2493 |
77 |
1.3439 |
0.9744 |
0.2250 |
4.3314 |
1.0263 |
4.4453 |
0.2309 |
78 |
1.3614 |
0.9781 |
0.2079 |
4.7047 |
1.0223 |
4.8098 |
0.2126 |
79 |
1.3788 |
0.9816 |
0.1908 |
5.1446 |
1.0187 |
5.2408 |
0.1944 |
80 |
1.3963 |
0.9848 |
0.1737 |
5.6712 |
1.0154 |
5.7587 |
0.1763 |
81 |
1.4137 |
0.9877 |
0.1564 |
6.3139 |
1.0125 |
6.3926 |
0.1584 |
82 |
1.4312 |
0.9903 |
0.1392 |
7.1154 |
1.0098 |
7.1853 |
0.1405 |
83 |
1.4486 |
0.9925 |
0.1219 |
8.1441 |
1.0075 |
8.2053 |
0.1228 |
84 |
1.4661 |
0.9945 |
0.1045 |
9.5147 |
1.0055 |
9.5671 |
0.1051 |
85 |
1.4835 |
0.9962 |
0.0872 |
11.4301 |
1.0038 |
11.4737 |
0.0875 |
86 |
1.5010 |
0.9976 |
0.0698 |
14.3000 |
1.0024 |
14.3349 |
0.0699 |
87 |
1.5184 |
0.9986 |
0.0523 |
19.0824 |
1.0014 |
19.1086 |
0.0524 |
88 |
1.5359 |
0.9994 |
0.0349 |
28.6365 |
1.0006 |
28.6539 |
0.0349 |
89 |
1.5533 |
0.9998 |
0.0175 |
57.2800 |
1.0002 |
57.2887 |
0.0175 |
90 |
1.5708 |
1.0000 |
0 |
∞ |
1.0000 |
∞ |
0 |