What expression can be used to represent tan(x)?

The expression that represents tan(x) is sin(x)/cos(x). This is a fundamental identity in trigonometry. The tangent function is defined as the ratio of the sine of an angle to the cosine of that angle. When you take the sine and divide it by the cosine, you obtain the value of the tangent function for that angle.

This identity is particularly useful in simplifying trigonometric expressions and solving equations involving trigonometric functions. Recognizing that tan(x) = sin(x)/cos(x) allows you to manipulate and transform equations effectively when dealing with tangent functions. Understanding this relationship between sine, cosine, and tangent is essential for a variety of applications in geometry, calculus, and beyond.