## Math Problem Statement

Leite mir f(x)=tan(x) = sin(x)/cos(x)

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Differentiation

Trigonometric Functions

### Formulas

Quotient Rule: (u(x)/v(x))' = (u'(x)v(x) - u(x)v'(x)) / v(x)^2

Derivative of sin(x): d/dx[sin(x)] = cos(x)

Derivative of cos(x): d/dx[cos(x)] = -sin(x)

Pythagorean Identity: sin^2(x) + cos^2(x) = 1

sec(x) = 1/cos(x)

### Theorems

Quotient Rule

Pythagorean Trigonometric Identity

### Suitable Grade Level

Grade 11-12, College Calculus