Simplify. \( \frac{\tan x}{\sec x} \) \( [?] \)

Did you know that \( \tan x \) and \( \sec x \) are functions that describe angles in a right triangle? Specifically, \( \tan x \) is the ratio of the opposite side to the adjacent side, while \( \sec x \) is the reciprocal of the cosine ratio, which is the ratio of the hypotenuse to the adjacent side. So, when you simplify \( \frac{\tan x}{\sec x} \), you're actually working with triangles! When you simplify \( \frac{\tan x}{\sec x} \), it becomes \( \frac{\sin x}{\cos x} \cdot \frac{\cos x}{1} \), which simplifies down to \( \sin x \). Always remember to look for relationships between trigonometric functions; they can lead to quick and easy simplifications!