PI = 3.141592… (approximately 22/7 = 3.1428)
radians = degrees x PI / 180 (deg to rad conversion)
degrees = radians x 180 / PI (rad to deg conversion)
| Rad | Deg | Sin | Cos | Tan | Csc | Sec | Cot | ||
|---|---|---|---|---|---|---|---|---|---|
| .0000 | 00 | .0000 | 1.0000 | .0000 | —– | 1.0000 | —– | 90 | 1.5707 |
| .0175 | 01 | .0175 | .9998 | .0175 | 57.2987 | 1.0002 | 57.2900 | 89 | 1.5533 |
| .0349 | 02 | .0349 | .9994 | .0349 | 28.6537 | 1.0006 | 28.6363 | 88 | 1.5359 |
| .0524 | 03 | .0523 | .9986 | .0524 | 19.1073 | 1.0014 | 19.0811 | 87 | 1.5184 |
| .0698 | 04 | .0698 | .9976 | .0699 | 14.3356 | 1.0024 | 14.3007 | 86 | 1.5010 |
| .0873 | 05 | .0872 | .9962 | .0875 | 11.4737 | 1.0038 | 11.4301 | 85 | 1.4835 |
| .1047 | 06 | .1045 | .9945 | .1051 | 9.5668 | 1.0055 | 9.5144 | 84 | 1.4661 |
| .1222 | 07 | .1219 | .9925 | .1228 | 8.2055 | 1.0075 | 8.1443 | 83 | 1.4486 |
| .1396 | 08 | .1392 | .9903 | .1405 | 7.1853 | 1.0098 | 7.1154 | 82 | 1.4312 |
| .1571 | 09 | .1564 | .9877 | .1584 | 6.3925 | 1.0125 | 6.3138 | 81 | 1.4137 |
| .1745 | 10 | .1736 | .9848 | .1763 | 5.7588 | 1.0154 | 5.6713 | 80 | 1.3953 |
| .1920 | 11 | .1908 | .9816 | .1944 | 5.2408 | 1.0187 | 5.1446 | 79 | 1.3788 |
| .2094 | 12 | .2079 | .9781 | .2126 | 4.8097 | 1.0223 | 4.7046 | 78 | 1.3614 |
| .2269 | 13 | .2250 | .9744 | .2309 | 4.4454 | 1.0263 | 4.3315 | 77 | 1.3439 |
| .2443 | 14 | .2419 | .9703 | .2493 | 4.1336 | 1.0306 | 4.0108 | 76 | 1.3265 |
| .2618 | 15 | .2588 | .9659 | .2679 | 3.8637 | 1.0353 | 3.7321 | 75 | 1.3090 |
| .2793 | 16 | .2756 | .9613 | .2867 | 3.6280 | 1.0403 | 3.4874 | 74 | 1.2915 |
| .2967 | 17 | .2924 | .9563 | .3057 | 3.4203 | 1.0457 | 3.2709 | 73 | 1.2741 |
| .3142 | 18 | .3090 | .9511 | .3249 | 3.2361 | 1.0515 | 3.0777 | 72 | 1.2566 |
| .3316 | 19 | .3256 | .9455 | .3443 | 3.0716 | 1.0576 | 2.9042 | 71 | 1.2392 |
| .3491 | 20 | .3420 | .9397 | .3640 | 2.9238 | 1.0642 | 2.7475 | 70 | 1.2217 |
| .3665 | 21 | .3584 | .9336 | .3839 | 2.7904 | 1.0711 | 2.6051 | 69 | 1.2043 |
| .3840 | 22 | .3746 | .9272 | .4040 | 2.6695 | 1.0785 | 2.4751 | 68 | 1.1868 |
| .4014 | 23 | .3907 | .9205 | .4245 | 2.5593 | 1.0864 | 2.3559 | 67 | 1.1694 |
| .4189 | 24 | .4067 | .9135 | .4452 | 2.4586 | 1.0946 | 2.2460 | 66 | 1.1519 |
| .4363 | 25 | .4226 | .9063 | .4663 | 2.3662 | 1.1034 | 2.1445 | 65 | 1.1345 |
| .4538 | 26 | .4384 | .8988 | .4877 | 2.2812 | 1.1126 | 2.0503 | 64 | 1.1170 |
| .4712 | 27 | .4540 | .8910 | .5095 | 2.2027 | 1.1223 | 1.9626 | 63 | 1.0996 |
| .4887 | 28 | .4695 | .8829 | .5317 | 2.1301 | 1.1326 | 1.8807 | 62 | 1.0821 |
| .5061 | 29 | .4848 | .8746 | .5543 | 2.0627 | 1.1434 | 1.8040 | 61 | 1.0647 |
| .5236 | 30 | .5000 | .8660 | .5774 | 2.0000 | 1.1547 | 1.7321 | 60 | 1.0472 |
| .5411 | 31 | .5150 | .8572 | .6009 | 1.9416 | 1.1666 | 1.6643 | 59 | 1.0297 |
| .5585 | 32 | .5299 | .8480 | .6249 | 1.8871 | 1.1792 | 1.6003 | 58 | 1.0123 |
| .5760 | 33 | .5446 | .8387 | .6494 | 1.8361 | 1.1924 | 1.5399 | 57 | .9948 |
| .5934 | 34 | .5592 | .8290 | .6745 | 1.7883 | 1.2062 | 1.4826 | 56 | .9774 |
| .6109 | 35 | .5736 | .8192 | .7002 | 1.7434 | 1.2208 | 1.4281 | 55 | .9599 |
| .6283 | 36 | .5878 | .8090 | .7265 | 1.7013 | 1.2361 | 1.3764 | 54 | .9425 |
| .6458 | 37 | .6018 | .7986 | .7536 | 1.6616 | 1.2521 | 1.3270 | 53 | .9250 |
| .6632 | 38 | .6157 | .7880 | .7813 | 1.6243 | 1.2690 | 1.2799 | 52 | .9076 |
| .6807 | 39 | .6293 | .7771 | .8098 | 1.5890 | 1.2868 | 1.2349 | 51 | .8901 |
| .6981 | 40 | .6428 | .7660 | .8391 | 1.5557 | 1.3054 | 1.1918 | 50 | .8727 |
| .7156 | 41 | .6561 | .7547 | .8693 | 1.5243 | 1.3250 | 1.1504 | 49 | .8552 |
| .7330 | 42 | .6691 | .7431 | .9004 | 1.4945 | 1.3456 | 1.1106 | 48 | .8378 |
| .7505 | 43 | .6820 | .7314 | .9325 | 1.4663 | 1.3673 | 1.0724 | 47 | .8203 |
| .7679 | 44 | .6947 | .7193 | .9657 | 1.4396 | 1.3902 | 1.0355 | 46 | .8029 |
| .7854 | 45 | .7071 | .7071 | 1.0000 | 1.4142 | 1.4142 | 1.0000 | 45 | .7854 |
| COs | Sin | Cot | Sec | CSC | Tan | Deg | Rad |
| angle (degrees) | 0 | 30 | 45 | 60 | 90 | 120 | 135 | 150 | 180 | 210 | 225 | 240 | 270 | 300 | 315 | 330 | 360 = 0 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| angle (radians) | 0 | PI/6 | PI/4 | PI/3 | PI/2 | 2/3PI | 3/4PI | 5/6PI | PI | 7/6PI | 5/4PI | 4/3PI | 3/2PI | 5/3PI | 7/4PI | 11/6PI | 2PI = 0 |
| sin(a) |  (0/4) |
(1/4) |
(2/4) |
(3/4) |
(4/4) |
(3/4) |
(2/4) |
(1/4) |
(0/4) |
–(1/4) |
–(2/4) |
–(3/4) |
–(4/4) |
–(3/4) |
–(2/4) |
–(1/4) |
(0/4) |
| COs(a) | (4/4) |
(3/4) |
(2/4) |
(1/4) |
(0/4) |
–(1/4) |
–(2/4) |
–(3/4) |
–(4/4) |
–(3/4) |
–(2/4) |
–(1/4) |
(0/4) |
(1/4) |
(2/4) |
(3/4) |
(4/4) |
| tan(a) | (0/4) |
(1/3) |
(2/2) |
(3/1) |
(4/0) |
–(3/1) |
–(2/2) |
–(1/3) |
–(0/4) |
(1/3) |
(2/2) |
(3/1) |
(4/0) |
–(3/1) |
–(2/2) |
–(1/3) |
(0/4) |
Those with a zero in the denominator are undefined. They are included solely to demonstrate the pattern.
MathFormulasSite 