Tangent table

You can use the following tangent table as a quick reference guide or cheat sheet in order to find the tangent of any angle from zero degree to ninety degrees. Keep reading so that you can see how to use it to locate the tangent of an angle.

Angle	Tangent	Angle	Tangent	Angle	Tangent
0°	0	31°	0.6009	61°	1.8040
1°	0.0175	32°	0.6249	62°	1.8807
2°	0.0349	33°	0.6494	63°	1.9626
3°	0.0524	34°	0.6754	64°	2.0503
4°	0.0699	35°	0.7002	65°	2.1445
5°	0.0875	36°	0.7265	66°	2.2460
6°	0.1051	37°	0.7536	67°	2.3559
7°	0.1228	38°	0.7813	68°	2.4751
8°	0.1405	39°	0.8098	69°	2.6051
9°	0.1584	40°	0.8391	70°	2.7475
10°	0.1763	41°	0.8693	71°	2.9042
11°	0.1944	42°	0.9004	72°	3.0777
12°	0.2126	43°	0.9325	73°	3.2709
13°	0.2309	44°	0.9657	74°	3.4874
14°	0.2493	45°	1.0000	75°	3.7321
15°	0.2679	46°	1.0355	76°	4.0108
16°	0.2867	47°	1.0724	77°	4.3315
17°	0.3057	48°	1.1106	78°	4.7046
18°	0.3249	49°	1.1504	79°	5.1446
19°	0.3443	50°	1.1918	80°	5.6713
20°	0.3640	51°	1.2349	81°	6.3138
21°	0.3839	52°	1.2799	82°	7.1154
22°	0.4040	53°	1.3270	83°	8.1443
23°	0.4245	54°	1.3764	84°	9.5144
24°	0.4452	55°	1.4281	85°	11.4301
25°	0.4663	56°	1.4826	86°	14.3007
26°	0.4877	57°	1.5399	87°	19.0811
27°	0.5095	58°	1.6003	88°	28.6363
28°	0.5317	59°	1.6643	89°	57.2900
29°	0.5543	60°	1.7321	90°	No solution
30°	0.5774

Here is how you can use the tangent table above to find the tangent of some angles.

How did we find the tangent of 35 degrees?

Using the table, we need to first locate 35 degrees. Then, locate the number that is located in the same row as 35 degrees and the same column as the 'Tangent' title.

Using this strategy and the table above, here is what the tangent of a few selected angles is equal to.

Tangent(4 degrees) = 0.0699

Tangent(31 degrees) = 0.6009

Tangent(45 degrees) = 1

Tangent(70 degrees) = 2.7475

Tangent(25 degrees) = 0.4663

Tangent(88 degrees) = 28.6363

Tangent(30 degrees) = 0.5774

Tangent(50 degrees) = 1.1918

Tangent(60 degrees) = 1.7321

Tangent(2 degrees) = 0.0349

Tangent(40 degrees) = 0.8391