Right Triangle Formulas, Calculator and Table of Trigonometric Function Values
posted on August 15, 2013 by Rockler

On this page we've put together some useful formulas for solving right triangles and a table of function values for the sine, cosine and tangent functions.

Right triangle Formulas
Table of Trigonometric Function Values

Right Triangle Formulas

The Pythagorean Theorem:
A² + O² = H²

Trigonometric Functions:
Sin(x) = O/H
Cos(x) = A/H
Tan(x) = O/A

Inverse Trigonometric Functions
x = Ascsin[sin(x)]
x = Arccos[cos(x)]
x = Arctan[tan(x)]

Trigonometric Function Values

To calculate trigonometric function values, you'll need to use a scientific calculator or a table of trigonometric function values.  Scientific calculators are relatively inexpensive to buy and are a handy tool to have around the shop.  Free scientific calculators can often be found by searching the Web. Below, you'll find a good old fashioned table of trigonometric function values for the sine, cosine and tangent functions.

Trigonometric Function Values
Degrees Sine Cosine Tangent Degrees Sine Cosine Tangent
1 0.01745 0.99985 0.01746 46 0.71934 0.69466 1.03553
2 0.0349 0.99939 0.03492 47 0.73135 0.682 1.07237
3 0.05234 0.99863 0.05241 48 0.74314 0.66913 1.11061
4 0.06976 0.99756 0.06993 49 0.75471 0.65606 1.15037
5 0.08716 0.99619 0.08749 50 0.76604 0.64279 1.19175
6 0.10453 0.99452 0.1051 51 0.77715 0.62932 1.2349
7 0.12187 0.99255 0.12278 52 0.78801 0.61566 1.27994
8 0.13917 0.99027 0.14054 53 0.79864 0.60182 1.32704
9 0.15643 0.98769 0.15838 54 0.80902 0.58779 1.37638
10 0.17365 0.98481 0.17633 55 0.81915 0.57358 1.42815
11 0.19081 0.98163 0.19438 56 0.82904 0.55919 1.48256
12 0.20791 0.97815 0.21256 57 0.83867 0.54464 1.53986
13 0.22495 0.97437 0.23087 58 0.84805 0.52992 1.60033
14 0.24192 0.9703 0.24933 59 0.85717 0.51504 1.66428
15 0.25882 0.96593 0.26795 60 0.86603 0.5 1.73205
16 0.27564 0.96126 0.28675 61 0.87462 0.48481 1.80405
17 0.29237 0.9563 0.30573 62 0.88295 0.46947 1.88073
18 0.30902 0.95106 0.32492 63 0.89101 0.45399 1.96261
19 0.32557 0.94552 0.34433 64 0.89879 0.43837 2.0503
20 0.34202 0.93969 0.36397 65 0.90631 0.42262 2.14451
21 0.35837 0.93358 0.38386 66 0.91355 0.40674 2.24604
22 0.37461 0.92718 0.40403 67 0.9205 0.39073 2.35585
23 0.39073 0.9205 0.42447 68 0.92718 0.37461 2.47509
24 0.40674 0.91355 0.44523 69 0.93358 0.35837 2.60509
25 0.42262 0.90631 0.46631 70 0.93969 0.34202 2.74748
26 0.43837 0.89879 0.48773 71 0.94552 0.32557 2.90421
27 0.45399 0.89101 0.50953 72 0.95106 0.30902 3.07768
28 0.46947 0.88295 0.53171 73 0.9563 0.29237 3.27085
29 0.48481 0.87462 0.55431 74 0.96126 0.27564 3.48741
30 0.5 0.86603 0.57735 75 0.96593 0.25882 3.73205
31 0.51504 0.85717 0.60086 76 0.9703 0.24192 4.01078
32 0.52992 0.84805 0.62487 77 0.97437 0.22495 4.33148
33 0.54464 0.83867 0.64941 78 0.97815 0.20791 4.70463
34 0.55919 0.82904 0.67451 79 0.98163 0.19081 5.14455
35 0.57358 0.81915 0.70021 80 0.98481 0.17365 5.67128
36 0.58779 0.80902 0.72654 81 0.98769 0.15643 6.31375
37 0.60182 0.79864 0.75355 82 0.99027 0.13917 7.11537
38 0.61566 0.78801 0.78129 83 0.99255 0.12187 8.14435
39 0.62932 0.77715 0.80978 84 0.99452 0.10453 9.51436
40 0.64279 0.76604 0.8391 85 0.99619 0.08716 11.43005
41 0.65606 0.75471 0.86929 86 0.99756 0.06976 14.30067
42 0.66913 0.74314 0.9004 87 0.99863 0.05234 19.08114
43 0.682 0.73135 0.93252 88 0.99939 0.0349 28.63625
44 0.69466 0.71934 0.96569 89 0.99985 0.01745 57.28996
45 0.70711 0.70711 1 90 1 --- ---
posted on August 15, 2013 by Rockler
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What People are Saying:

I have been ordering from Rockler for almost 20 years and have found their products to be very inexpensive and of high quality. Shipping is fast even when an item is back ordered. The best prices I have found anywhere."

- Orval - 08/07/2012
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