Math Problem Statement

Find exact value

Find the exact value of tan(22.5°).

Solution

PIL import Image

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image_path = '/mnt/data/1732687212987h96q8enz.jpg' img = Image.open(image_path)

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img.show()I have opened the image, but I cannot visually process its content directly. Could you kindly describe the problem or math expression it contains, so I can assist you in solving it?

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Half-Angle Formula
Simplification of Expressions

Formulas

tan(θ/2) = (1 - cos(θ)) / sin(θ)
tan(22.5°) = √2 - 1

Theorems

Half-Angle Identity

Suitable Grade Level

Grades 10-12