Question

Consider the relationship in special right triangles to determine the tangent ratio for a 45 degree angle. Give your answer, as necessary, to the nearest thousandth place (three decimal place values).

Answer 1

1

Explanation:

The tangent of a angle is opposite side/ adjacent side

In a rights triangle with a 45° angle we have a special 45-45-90 triangle.

The legs of the triangle are congruent and are the opposite and adjacent sides of the 45° angle. Therefore, the ratio of those two sides is 1.

Therefore, the tangent of 45° = 1