Math Problem Statement

Consider the expression e ^ x - ln(cos^2 (x)) + ln(1 + tan^2 (x)) and then simplify it into a single term

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Logarithmic Functions
Trigonometric Identities

Formulas

Pythagorean Identity: 1 + tan^2(x) = sec^2(x)
Logarithmic Property: ln(a^b) = b * ln(a)
Trigonometric Identity: sec(x) = 1 / cos(x)

Theorems

Logarithmic Properties
Pythagorean Identity

Suitable Grade Level

Grades 10-12