Math Problem Statement

Simplify e^x-ln(cos^2(x))+ln(1+tan^2(x)) as a single expression using trigonometric substitution.

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Logarithms
Trigonometric Identities
Simplification

Formulas

1 + tan^2(x) = sec^2(x)
ln(a^b) = b * ln(a)
ln(a * b) = ln(a) + ln(b)

Theorems

Trigonometric identity for tan and sec
Logarithmic properties

Suitable Grade Level

Grades 11-12 (Precalculus/Calculus)