Question
the cosine ratio in a right triangle is defined as:
Answers
GPT-4o mini
In a right triangle, the cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. Mathematically, for an angle \( \theta \):
\[
\cos(\theta) = \frac{\text{length of the adjacent side}}{\text{length of the hypotenuse}}
\]
In this context:
- The **adjacent side** is the side next to the angle \( \theta \).
- The **hypotenuse** is the longest side of the right triangle, opposite the right angle.
This definition is fundamental to trigonometry and is used to relate the angles and sides of right triangles.
\[
\cos(\theta) = \frac{\text{length of the adjacent side}}{\text{length of the hypotenuse}}
\]
In this context:
- The **adjacent side** is the side next to the angle \( \theta \).
- The **hypotenuse** is the longest side of the right triangle, opposite the right angle.
This definition is fundamental to trigonometry and is used to relate the angles and sides of right triangles.