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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)]

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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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 O and Angle 1
I Know: The length of Side A and Angle 1
I Know: The length of Side H and Angle 1