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
Trigonometry

Formulas

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

Theorems

Logarithmic Identity: ln(a/b) = ln(a) - ln(b)
Trigonometric Identity: sec(x) = 1/cos(x)

Suitable Grade Level

Grades 10-12