三角函数对照表

1、本文格式为word版，下载可任意编辑三角函数对照表 三角函数对比表 三角函数 sin cos tan 三角函数 sin cos tan 0 0 0 0 1 1 0 0 90 1 1 0 0 无 1 1 0.0174 0.9998 0.0174 89 0.9998 0.0174 57.2899 2 2 0.0348 0.9993 0.0349 88 0.9993 0.0348 28.6362 3 3 0.0523 0.9986 0.0524 87 0.9986 0.0523 19.0811 4 4 0.0697 0.9975 0.0699 86 0.9975 0.0697 14.3006 5 5

2、 0.0871 0.9961 0.0874 85 0.9961 0.0871 11.4300 6 6 0.1045 0.9945 0.1051 84 0.9945 0.1045 9.5143 7 7 0.1218 0.9925 0.1227 83 0.9925 0.1218 8.1443 8 8 0.1391 0.9902 0.1405 82 0.9902 0.1391 7.1153 9 9 0.1564 0.9876 0.1583 81 0.98 76 0.1564 6.3137 10 0.1736 0.9848 0.1763 80 0.9848 0.1736 5.6712 11 0.190

3、8 0.9816 0.1943 79 0.9816 0.1908 5.1445 12 0.2079 0.9781 0.2125 78 0.9781 0.2079 4.7046 13 0.2249 0.9743 0.2308 77 0.9743 0.2249 4.3314 14 0.2419 0.9702 0.2493 76 0.9702 2 0.2419 4.0107 15 0.2588 0.9659 0.2679 75 0.9659 0.2588 3.7320 16 0.2756 0.9612 0.2867 74 0.9612 0.2756 3.4874 17 0.2923 0.9563 0

4、.3057 73 0.9563 0.2923 3.2708 18 0.3090 0.9510 0.3249 72 0.9510 0.3090 3.0776 19 0.3255 0.9455 0.3443 71 0.9455 0.3255 2.9042 20 0.3420 0.9396 0.3639 70 0.9396 0.3420 2.7474 21 0.3583 0.9335 0.3838 69 0.9335 0.3583 2.6050 22 0.3746 0.9271 0.4040 68 0.9271 0.3746 2.4750 23 0.3907 0.9205 0.4244 67 0.9

5、205 0.3907 2.3558 24 0.4067 0.9135 0.4452 66 0.9135 0.4067 2.2460 25 0.4226 0.9063 0.4663 65 0.9063 0.4226 2.1445 26 0.4383 0.8987 0.4877 64 0.8987 0.4383 2.0503 27 0.4539 0.8910 0.5095 63 0.8910 0.4539 1.9626 28 0.4694 0.8829 0.5317 62 0.8829 0.4694 1.8807 29 0.4848 0.8746 0.5543 61 0.8746 0 0 .484

6、8 1.8040 30 0.5000 0.8660 0.5773 60 0.8660 0.5000 1.7320 31 0.5150 0.8571 0.6008 59 0.8571 0.5150 1.6642 32 0.5299 0.8480 0.6248 58 0.8480 0.5299 1.6003 33 0.5446 0.8386 0.6494 57 0.8386 0.5446 1.5398 34 0.5591 0.8290 0.6745 56 0.8290 . 0. 5591 1.4825 35 0.5735 0.8191 0.7002 55 0.8191 0.5735 1.4281

7、36 0.5877 0.8090 0.7265 54 0.8090 0.5877 1.3763 37 0.6018 0.7986 0.7535 53 0.7986 0.6018 1.3270 38 0.6156 0.7880 0.7812 52 0.7880 0.6156 1.2799 39 0.6293 0.7771 0.8097 51 0.7771 0.6 293 1.2348 40 0.6427 0.7660 0.8390 50 0.7660 0.6427 1.1917 41 0.6560 0.7547 0.8692 49 0.7547 0.6560 1.1503 42 0.6691 0

8、.7431 0.9004 48 0.7431 0.6691 1.1106 43 0.6819 0.7313 0.9325 47 0.7313 0.6819 1.0723 44 0.6946 0.7193 0.9656 46 0.7193 0.69 46 1.0355 45 0.7071 0.7071 1 1 45 0.7071 0.7071 1 1 同角基本关系式 倒数关系 商的关系 平方关系 tan cot 1sin csc 1cos sec 1a aa aa a = = = sin sectancos csccos csccotsin seca aaa aa aaa a= = = 2 22

9、 22 2sin cos 11 tan sec1 cot csca aa aa a+ =+ =+ = 诱导公式 sin( ) sin a a - = - cos( ) cos a a - = tan( ) tan a a - = - cot( ) cot a a - = - sin( ) cos2cos( ) sin2tan( ) cot2cot( ) tan2pa apa apa apa a- =- =- =- = sin( ) sincos( ) costan( ) tancot( ) cotp a ap a ap a ap a a- =- = - = - = - 3sin( ) cos2

10、3cos( ) sin23tan( ) cot23cot( ) tan2pa apa apa apa a- = - = - =- = sin(2 ) sincos(2 ) costan(2 ) tancot(2 ) cotp a ap a ap a ap a a- = - =- = - = - (其中 kz) sin( ) cos2cos( ) sin2tan( ) cot2cot( ) tan2pa apa apa apa a+ =+ = -+ = -+ = - sin( ) sincos( ) costan( ) tancot( ) cotp a ap a ap a ap a a+ = -

11、+ = -+ =+ = 3sin( ) cos23cos( ) sin23tan( ) cot23cot( ) tan2pa apa apa apa a+ = -+ =+ = -+ = - sin(2 ) sincos(2 ) costan(2 ) tancot(2 ) cotp a ap a ap a ap a a+ =+ =+ = = 两角和与差的三角函数公式 万能公式 sin( ) sin cos cos sinsin( ) sin cos cos sincos( ) cos cos sin sincos( ) cos cos sin sina b a b a ba b a b a ba

12、 b a b a ba b a b a b+ = +- = -+ = - = + tan tantan( )1 tan tana ba ba b+ =- tan tantan( )1 tan tana ba ba b- =- 2tan( /2)sin1 tan2( /2)aaa=+ 1 tan2( / 2)cos1 tan2( / 2)aaa-=+ 2tan( /2)tan1 tan2( /2)aaa=- 半角的正弦、余弦和正切公式 三角函数的降幂公式 1 cossin( )2 21 coscos( )2 21 cos 1 cos sintan( )2 1 cos sin 1 cosa aa

13、aa a a aa a a-= += - -= = =+ + 221 cos2sin21 cos2cos2aaaa-=+= 二倍角的正弦、余弦和正切公式 三倍角的正弦、余弦和正切公式 sin2 2sin coscos2 cos2 sin2 2cos2 1 1 2sin2a a aa a a a a= - = - = - 2tantan21 tan2aaa= - sin3 3sin 4sin3cos3 4cos3 3cos .3tan tan3tan31 3tan2a a aa a aa aaa= -= -= - 三角函数的和差化积公式 三角函数的积化和差公式 sin sin 2sin cos2

14、 2sin sin 2cos sin2 2cos cos 2cos cos2 2cos cos 2sin sin2 2a b a ba ba b a ba ba b a ba ba b a ba b+ -+ = + - = + -+ = + - = - 1sin cos sin( ) sin( )21cos sin sin( ) sin( )21cos cos cos( ) cos( )21sin sin cos( ) cos( )2a b a b a ba b a b a ba b a b a ba b a b a b = + + - = + - - = + + - = - + - - 化 化 asin bcos 为一个角的一个三角函数