Math Problem Statement

اگر 60<α<12060<\alpha<120 باشد و cos2α=3m1 به روی چهار\cos2\alpha=3m-1\text{ به روی چهار} باشد،حدود پارامتر m چقدر است؟

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Cosine function
Angle properties

Formulas

Double-angle formula for cosine: cos(2α) = 2cos^2(α) - 1

Theorems

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Suitable Grade Level

Advanced High School