What is Tan 38 degrees?

Tan is short for tangent. Here we tell you what tan 38 degrees is, how we came up with the answer, and how knowing tan of 38 degrees can be useful.

To calculate tan (38) degrees of a right angled triangle, we use the following equation where angle is 38:

Tan(angle) = Opposite/Adjacent

Tan 38 degrees is simply the ratio of the side opposite of the angle to the side adjacent to the angle. As long as the angle stays at 38 degrees, the ratio does not change and tan 38 degrees is a fixed number. See figure 1 for a better illustration. The answer to "What is tan 38 degrees?" is as follows:

Tan(38 deg) ≈ 0.781285626507

Now you also know that the following is true:

0.781285626507 ≈ Opposite/Adjacent

This is useful because if you know either Opposite or Adjacent length, you can enter it in the equation above and solve for the missing length.

You can also re-write the equation above to solve for Opposite and Adjacent to get the following new equations:

Opposite ≈ 0.781285626507 x Adjacent

Adjacent ≈ Opposite / 0.781285626507

Figure 1
Triangl

Tan of the angle in the illustration above is calculated by dividing the length of the Opposite by the length of the Adjacent.

If the angle is 38, then the tan of 38 degrees will be 0.781285626507.

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What is Tan 39 degrees?
Go here for the next angle we converted.