Question

the tangent ratio in a right triangle is defined as

Answer 1

In a right triangle, the tangent ratio is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to that angle. Mathematically, if we denote:

- \( \theta \) as one of the non-right angles,
- \( \text{Opposite} \) as the length of the side opposite to angle \( \theta \),
- \( \text{Adjacent} \) as the length of the side adjacent to angle \( \theta \),

then the tangent of angle \( \theta \) is given by:

\[
\tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}}
\]

This ratio is particularly useful in trigonometry, allowing for the calculation of angles and side lengths in right triangles.