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
Logarithms
Trigonometric identities

Formulas

Logarithmic property: \ln(a^b) = b \cdot \ln(a)
Trigonometric identity: 1 + \tan^2(x) = \sec^2(x)
Definition: \sec(x) = \frac{1}{\cos(x)}

Theorems

Logarithmic properties
Trigonometric identities

Suitable Grade Level

Grades 11-12