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# Woodworking Math Tables, Formulas and Calculators

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### Right Triangle Formulas, Calculator and Table of Trigonometric Function Values

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

Right triangle Formulas
Right Triangle Calculator
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)]

 Right Triangle Calculator To use the Triangle Calculator, select the appropriate combination of known values from the list below Side O Side A Side H    Angle 1    Angle 2 I Know: The length of Side O and the length of Side A I Know: The length of Side O and the length of Side H I Know: The length of Side A and the length of Side H I Know: The length of Side Oand Angle 1 I Know: The length of Side A and Angle 1 I Know: The length of Side H and Angle 1

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 --- ---

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