If the sine of an angle equals to {2}/{5}, then the tangent of the angle could be:
1. sqrt(21)/2
2. 5/2
3. 2/sqrt(29)
4. sqrt(29)/2
5. 2/sqrt(21)

If the sine of an angle equals to {2}/{5}, then the tangent of the angle could be:

5.

Step-by-step explanation:

To find the adjacent leg (a):

Using the pythagorean theorem:

- a and b are the lenght of the sides and c is the hypotenuse

we know one side and the hypotenuse. Therefore plugging into the formula we get:

where a is the adjacent leg of the triangle, solving for a we get:

To find the tangent of the angle:

Since tangent is opposite leg over the adjacent leg:

tan θ =

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