Answer:
If the sine of an angle equals to {2}/{5}, then the tangent of the angle could be:
<em>5. </em>
Step-by-step explanation:
- Imagine a triangle
- The sine of an angle is equal to the length of the opposite leg over the hypotenuse.
- <em>HINT: SOHCAHTOA</em>
<u>To find the adjacent leg (a): </u>
Using the pythagorean theorem:
- <em>a </em>and <em>b</em> are the lenght of the sides and <em>c </em>is the hypotenuse
we know one side and the hypotenuse. Therefore plugging into the formula we get:
where <em>a</em> is the adjacent leg of the triangle, solving for a we get:
<u>To find the tangent of the angle: </u>
Since tangent is opposite leg over the adjacent leg:
tan θ =