Understanding the Relationship between Sine, Cosine, and Tangent in a Right Triangle

In a right triangle, the sine ($\sin$), cosine ($\cos$), and tangent ($\tan$) functions are used to relate the angles and side lengths.

The sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse. The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. Finally, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

Understanding these relationships is crucial for grasping trigonometric principles and solving real-world problems.