Provided by Machinery's Handbook
Click below to find a starting angle in the tables
Trig
Table for Angles 0 to 90 Degrees
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
0 |
0.000000 |
1.000000 |
0.000000 |
1.00000
0 |
Undefined |
Undefined |
0
|
1 |
0.017452 |
0.999848 |
0.017455 |
1.000152 |
57.2987 |
57.2900 |
1
|
2 |
0.034899 |
0.999391 |
0.034921 |
1.000610 |
28.6537 |
28.6363 |
2
|
3 |
0.052336 |
0.998630 |
0.052408 |
1.001372 |
19.1073 |
19.0811 |
3
|
4 |
0.069756 |
0.997564 |
0.069927 |
1.002442 |
14.3356 |
14.3007 |
4
|
5 |
0.087156 |
0.996195 |
0.087489 |
1.003820 |
11.4737 |
11.4301 |
5
|
6 |
0.104528 |
0.994522 |
0.105104 |
1.005508 |
9.566772 |
9.514364 |
6
|
7 |
0.121869 |
0.992546 |
0.122785 |
1.007510 |
8.205509 |
8.144346 |
7
|
8 |
0.139173 |
0.990268 |
0.140541 |
1.009828 |
7.185297 |
7.115370 |
8
|
9 |
0.156434 |
0.987688 |
0.158384 |
1.012465 |
6.392453 |
6.313752 |
9
|
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
10 |
0.173648 |
0.984808 |
0.176327 |
1.015427 |
5.758770 |
5.671282 |
10
|
11 |
0.190809 |
0.981627 |
0.194380 |
1.018717 |
5.240843 |
5.144554 |
11
|
12 |
0.207912 |
0.978148 |
0.212557 |
1.022341 |
4.809734 |
4.704630 |
12
|
13 |
0.224951 |
0.974370 |
0.230868 |
1.026304 |
4.445411 |
4.331476 |
13
|
14 |
0.241922 |
0.970296 |
0.249328 |
1.030614 |
4.133565 |
4.010781 |
14
|
15 |
0.258819 |
0.965926 |
0.267949 |
1.035276 |
3.863703 |
3.732051 |
15
|
16 |
0.275637 |
0.961262 |
0.286745 |
1.040299 |
3.627955 |
3.487414 |
16
|
17 |
0.292372 |
0.956305 |
0.305731 |
1.045692 |
3.420304 |
3.270853 |
17
|
18 |
0.309017 |
0.951057 |
0.324920 |
1.051462 |
3.236068 |
3.077684 |
18
|
19 |
0.325568 |
0.945519 |
0.344328 |
1.057621 |
3.071553 |
2.904211 |
19
|
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
20 |
0.342020 |
0.939693 |
0.363970 |
1.064178 |
2.923804 |
2.747477 |
20
|
21 |
0.358368 |
0.933580 |
0.383864 |
1.071145 |
2.790428 |
2.605089 |
21
|
22 |
0.374607 |
0.927184 |
0.404026 |
1.078535 |
2.669467 |
2.475087 |
22
|
23 |
0.390731 |
0.920505 |
0.424475 |
1.086360 |
2.559305 |
2.355852 |
23
|
24 |
0.406737 |
0.913545 |
0.445229 |
1.094636 |
2.458593 |
2.246037 |
24
|
25 |
0.422618 |
0.906308 |
0.466308 |
1.103378 |
2.366202 |
2.144507 |
25
|
26 |
0.438371 |
0.898794 |
0.487733 |
1.112602 |
2.281172 |
2.050304 |
26
|
27 |
0.453990 |
0.891007 |
0.509525 |
1.122326 |
2.202689 |
1.962611 |
27
|
28 |
0.469472 |
0.882948 |
0.531709 |
1.132570 |
2.130054 |
1.880726 |
28
|
29 |
0.484810 |
0.874620 |
0.554309 |
1.143354 |
2.062665 |
1.804048 |
29
|
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
30 |
0.500000 |
0.866025 |
0.577350 |
1.154701 |
2.000000 |
1.732051 |
30
|
31 |
0.515038 |
0.857167 |
0.600861 |
1.166633 |
1.941604 |
1.664279 |
31
|
32 |
0.529919 |
0.848048 |
0.624869 |
1.179178 |
1.887080 |
1.600335 |
32
|
33 |
0.544639 |
0.838671 |
0.649408 |
1.192363 |
1.836078 |
1.539865 |
33
|
34 |
0.559193 |
0.829038 |
0.674509 |
1.206218 |
1.788292 |
1.482561 |
34
|
35 |
0.573576 |
0.819152 |
0.700208 |
1.220775 |
1.743447 |
1.428148 |
35
|
36 |
0.587785 |
0.809017 |
0.726543 |
1.236068 |
1.701302 |
1.376382 |
36
|
37 |
0.601815 |
0.798636 |
0.753554 |
1.252136 |
1.661640 |
1.327045 |
37
|
38 |
0.615661 |
0.788011 |
0.781286 |
1.269018 |
1.624269 |
1.279942 |
38
|
39 |
0.629320 |
0.777146 |
0.809784 |
1.286760 |
1.589016 |
1.234897 |
39
|
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
40 |
0.642788 |
0.766044 |
0.839100 |
1.305407 |
1.555724 |
1.191754 |
40
|
41 |
0.656059 |
0.754710 |
0.869287 |
1.325013 |
1.524253 |
1.150368 |
41
|
42 |
0.669131 |
0.743145 |
0.900404 |
1.345633 |
1.494477 |
1.110613 |
42
|
43 |
0.681998 |
0.731354 |
0.932515 |
1.367327 |
1.466279 |
1.072369 |
43
|
44 |
0.694658 |
0.719340 |
0.965689 |
1.390164 |
1.439557 |
1.035530 |
44
|
45 |
0.707107 |
0.707107 |
1.000000 |
1.414214 |
1.414214 |
1.000000 |
45
|
46 |
0.719340 |
0.694658 |
1.035530 |
1.439557 |
1.390164 |
0.965689 |
46
|
47 |
0.731354 |
0.681998 |
1.072369 |
1.466279 |
1.367327 |
0.932515 |
47
|
48 |
0.743145 |
0.669131 |
1.110613 |
1.494477 |
1.345633 |
0.900404 |
48
|
49 |
0.754710 |
0.656059 |
1.150368 |
1.524253 |
1.325013 |
0.869287 |
49
|
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
50 |
0.766044 |
0.642788 |
1.191754 |
1.555724 |
1.305407 |
0.839100 |
50
|
51 |
0.777146 |
0.629320 |
1.234897 |
1.589016 |
1.286760 |
0.809784 |
51
|
52 |
0.788011 |
0.615661 |
1.279942 |
1.624269 |
1.269018 |
0.781286 |
52
|
53 |
0.798636 |
0.601815 |
1.327045 |
1.661640 |
1.252136 |
0.753554 |
53
|
54 |
0.809017 |
0.587785 |
1.376382 |
1.701302 |
1.236068 |
0.726543 |
54
|
55 |
0.819152 |
0.573576 |
1.428148 |
1.743447 |
1.220775 |
0.700208 |
55
|
56 |
0.829038 |
0.559193 |
1.482561 |
1.788292 |
1.206218 |
0.674509 |
56
|
57 |
0.838671 |
0.544639 |
1.539865 |
1.836078 |
1.192363 |
0.649408 |
57
|
58 |
0.848048 |
0.529919 |
1.600335 |
1.887080 |
1.179178 |
0.624869 |
58
|
59 |
0.857167 |
0.515038 |
1.664279 |
1.941604 |
1.166633 |
0.600861 |
59
|
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
60 |
0.866025 |
0.500000 |
1.732051 |
2.000000 |
1.154701 |
0.577350 |
60
|
61 |
0.874620 |
0.484810 |
1.804048 |
2.062665 |
1.143354 |
0.554309 |
61
|
62 |
0.882948 |
0.469472 |
1.880726 |
2.130054 |
1.132570 |
0.531709 |
62
|
63 |
0.891007 |
0.453990 |
1.962611 |
2.202689 |
1.122326 |
0.509525 |
63
|
64 |
0.898794 |
0.438371 |
2.050304 |
2.281172 |
1.112602 |
0.487733 |
64
|
65 |
0.906308 |
0.422618 |
2.144507 |
2.366202 |
1.103378 |
0.466308 |
65
|
66 |
0.913545 |
0.406737 |
2.246037 |
2.458593 |
1.094636 |
0.445229 |
66
|
67 |
0.920505 |
0.390731 |
2.355852 |
2.559305 |
1.086360 |
0.424475 |
67
|
68 |
0.927184 |
0.374607 |
2.475087 |
2.669467 |
1.078535 |
0.404026 |
68
|
69 |
0.933580 |
0.358368 |
2.605089 |
2.790428 |
1.071145 |
0.383864 |
69
|
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
70 |
0.939693 |
0.342020 |
2.747477 |
2.923804 |
1.064178 |
0.363970 |
70
|
71 |
0.945519 |
0.325568 |
2.904211 |
3.071553 |
1.057621 |
0.344328 |
71
|
72 |
0.951057 |
0.309017 |
3.077684 |
3.236068 |
1.051462 |
0.324920 |
72
|
73 |
0.956305 |
0.292372 |
3.270853 |
3.420304 |
1.045692 |
0.305731 |
73
|
74 |
0.961262 |
0.275637 |
3.487414 |
3.627955 |
1.040299 |
0.286745 |
74
|
75 |
0.965926 |
0.258819 |
3.732051 |
3.863703 |
1.035276 |
0.267949 |
75
|
76 |
0.970296 |
0.241922 |
4.010781 |
4.133565 |
1.030614 |
0.249328 |
76
|
77 |
0.974370 |
0.224951 |
4.331476 |
4.445411 |
1.026304 |
0.230868 |
77
|
78 |
0.978148 |
0.207912 |
4.704630 |
4.809734 |
1.022341 |
0.212557 |
78
|
79 |
0.981627 |
0.190809 |
5.144554 |
5.240843 |
1.018717 |
0.194380 |
79
|
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
80 |
0.984808 |
0.173648 |
5.671282 |
5.758770 |
1.015427 |
0.176327 |
80
|
81 |
0.987688 |
0.156434 |
6.313752 |
6.392453 |
1.012465 |
0.158384 |
81
|
82 |
0.990268 |
0.139173 |
7.115370 |
7.185297 |
1.009828 |
0.140541 |
82
|
83 |
0.992546 |
0.121869 |
8.144346 |
8.205509 |
1.007510 |
0.122785 |
83
|
84 |
0.994522 |
0.104528 |
9.514364 |
9.566772 |
1.005508 |
0.105104 |
84
|
85 |
0.996195 |
0.087156 |
11.4301 |
11.4737 |
1.003820 |
0.087489 |
85
|
86 |
0.997564 |
0.069756 |
14.3007 |
14.3356 |
1.002442 |
0.069927 |
86
|
87 |
0.998630 |
0.052336 |
19.0811 |
19.1073 |
1.001372 |
0.052408 |
87
|
88 |
0.999391 |
0.034899 |
28.6363 |
28.6537 |
1.000610 |
0.034921 |
88
|
89 |
0.999848 |
0.017452 |
57.2900 |
57.2987 |
1.000152 |
0.017455 |
89
|
90 |
1.000000 |
0.000000 |
Infinity |
Infinity |
1.000000 |
0.000000 |
90
|
Angle |
Sine |
Cosine |
Tangent |
Secant |
Cosecant |
Cotangent |
Angle
|
|