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THREE-PLACE TRIGONOMETRIC TABLE
For angles up to 45°, use the left-hand column and the function labels in blue. For angles greater than 45°, use the right-hand column and the function labels in red.
For example,
sin 5° = .087
sin 85° = .996
θ |
sin θ cos θ |
cos θ sin θ |
tan θ cot θ |
cot θ tan θ |
sec θ csc θ |
csc θ sec θ |
|
0° |
.000 |
1.000 |
.000 |
........ |
1.000 |
........ |
90° |
1° |
.017 |
1.000 |
.017 |
57.290 |
1.000 |
57.299 |
89° |
2° |
.035 |
.999 |
.035 |
28.636 |
1.001 |
28.654 |
88° |
3° |
.052 |
.999 |
.052 |
19.081 |
1.001 |
19.107 |
87° |
4° |
.070 |
.998 |
.070 |
14.301 |
1.002 |
14.336 |
86° |
5° |
.087 |
.996 |
.087 |
11.430 |
1.004 |
11.474 |
85° |
6° |
.105 |
.995 |
.105 |
9.514 |
1.006 |
9.567 |
84° |
7° |
.122 |
.993 |
.123 |
8.144 |
1.008 |
8.206 |
83° |
8° |
.139 |
.990 |
.141 |
7.115 |
1.010 |
7.185 |
82° |
9° |
.156 |
.988 |
.158 |
6.314 |
1.012 |
6.392 |
81° |
|
sin θ cos θ |
cos θ sin θ |
tan θ cot θ |
cot θ tan θ |
sec θ csc θ |
csc θ sec θ |
|
10° |
.174 |
.985 |
.176 |
5.671 |
1.015 |
5.759 |
80° |
11° |
.191 |
.982 |
.194 |
5.145 |
1.019 |
5.241 |
79° |
12° |
.208 |
.978 |
.213 |
4.705 |
1.022 |
4.810 |
78° |
13° |
.225 |
.974 |
.231 |
4.331 |
1.026 |
4.445 |
77° |
14° |
.242 |
.970 |
.249 |
4.011 |
1.031 |
4.134 |
76° |
15° |
.259 |
.966 |
.268 |
3.732 |
1.035 |
3.864 |
75° |
16° |
.276 |
.961 |
.287 |
3.487 |
1.040 |
3.628 |
74° |
17° |
.292 |
.956 |
.306 |
3.271 |
1.046 |
3.420 |
73° |
18° |
.309 |
.951 |
.325 |
3.078 |
1.051 |
3.236 |
72° |
19° |
.326 |
.946 |
.344 |
2.904 |
1.058 |
3.072 |
71° |
|
sin θ cos θ |
cos θ sin θ |
tan θ cot θ |
cot θ tan θ |
sec θ csc θ |
csc θ sec θ |
|
20° |
.342 |
.940 |
.364 |
2.747 |
1.064 |
2.924 |
70° |
21° |
.358 |
.934 |
.384 |
2.605 |
1.071 |
2.790 |
69° |
22° |
.375 |
.927 |
.404 |
2.475 |
1.079 |
2.669 |
68° |
23° |
.391 |
.921 |
.424 |
2.356 |
1.086 |
2.559 |
67° |
24° |
.407 |
.914 |
.445 |
2.246 |
1.095 |
2.459 |
66° |
25° |
.423 |
.906 |
.466 |
2.145 |
1.103 |
2.366 |
65° |
26° |
.438 |
.899 |
.488 |
2.050 |
1.113 |
2.281 |
64° |
27° |
.454 |
.891 |
.510 |
1.963 |
1.122 |
2.203 |
63° |
28° |
.469 |
.883 |
.532 |
1.881 |
1.133 |
2.130 |
62° |
29° |
.485 |
.875 |
.554 |
1.804 |
1.143 |
2.063 |
61° |
|
sin θ cos θ |
cos θ sin θ |
tan θ cot θ |
cot θ tan θ |
sec θ csc θ |
csc θ sec θ |
|
30° |
.500 |
.866 |
.577 |
1.732 |
1.155 |
2.000 |
60° |
31° |
.515 |
.857 |
.601 |
1.664 |
1.167 |
1.972 |
59° |
32° |
.530 |
.848 |
.625 |
1.600 |
1.179 |
1.887 |
58° |
33° |
.545 |
.839 |
.649 |
1.540 |
1.192 |
1.836 |
57° |
34° |
.559 |
.829 |
.675 |
1.483 |
1.206 |
1.788 |
56° |
35° |
.574 |
.819 |
.700 |
1.428 |
1.221 |
1.743 |
55° |
36° |
.588 |
.809 |
.727 |
1.376 |
1.236 |
1.701 |
54° |
37° |
.602 |
.799 |
.754 |
1.327 |
1.252 |
1.662 |
53° |
38° |
.616 |
.788 |
.781 |
1.280 |
1.269 |
1.624 |
52° |
39° |
.629 |
.777 |
.810 |
1.235 |
1.287 |
1.589 |
51° |
|
sin θ cos θ |
cos θ sin θ |
tan θ cot θ |
cot θ tan θ |
sec θ csc θ |
csc θ sec θ |
|
40° |
.643 |
.766 |
.839 |
1.192 |
1.305 |
1.556 |
50° |
41° |
.656 |
.755 |
.869 |
1.150 |
1.325 |
1.524 |
49° |
42° |
.669 |
.743 |
.900 |
1.111 |
1.346 |
1.494 |
48° |
43° |
.682 |
.731 |
.933 |
1.072 |
1.367 |
1.466 |
47° |
44° |
.695 |
.719 |
.966 |
1.036 |
1.390 |
1.440 |
46° |
45° |
.707 |
.707 |
1.000 |
1.000 |
1.414 |
1.414 |
45° |
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