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 31° 0.6009 61° 1.8040
0.0175 32° 0.6249 62° 1.8807
0.0349 33° 0.6494 63° 1.9626
0.0524 34° 0.6754 64° 2.0503
0.0699 35° 0.7002 65° 2.1445
0.0875 36° 0.7265 66° 2.2460
0.1051 37° 0.7536 67° 2.3559
0.1228 38° 0.7813 68° 2.4751
0.1405 39° 0.8098 69° 2.6051
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.

Tangent 35 degrees

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

Tangent(38 degrees) = 0.7813

Tangent(55 degrees) = 1.4281

Here is a table that is more comprehensive. You will be able to use it to find the tangent of any angle from 0 degree to 360 degrees. 

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