Opposite Over Adjacent Calculator

Formula

The formula to calculate the ratio of Opposite Over Adjacent (O/A) is:

\[ \frac{O}{A} = \tan(\theta) \]

Where:

\( \frac{O}{A} \) is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
\( \tan(\theta) \) is the tangent of the angle \( \theta \).

What is Opposite Over Adjacent?

Opposite Over Adjacent is a mathematical term used primarily in trigonometry. It refers to the ratio of the length of the side of a right triangle that is opposite to an angle to the length of the side that is adjacent to the same angle. This ratio is used to calculate the tangent of the angle, which is a fundamental concept in trigonometry.

Example Calculation

Consider an example where:

Angle (θ): 45 degrees

Using the formula to calculate Opposite Over Adjacent:

\[ \frac{O}{A} = \tan(45^\circ) = 1 \]

This means that the ratio of the opposite side to the adjacent side for this example is 1.