Math Problem Statement

How to simplify cos(arctanx)

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Inverse Trigonometric Functions
Right Triangles

Formulas

\(\cos(\arctan(x)) = \frac{1}{\sqrt{x^2 + 1}}\)
\(\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}\)

Theorems

Pythagorean theorem

Suitable Grade Level

Grades 10-12