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Trigonometric functions are utilized in various real-life applications, ranging from physics to engineering. For exact angle values like π/6 (30 degrees), π/4 (45 degrees), and π/3 (60 degrees), approaches can involve geometric constructions without requiring a calculator.
In summary, the realm of trigonometry unfolds through basic triangles and the relationships among their angles and sides. Sine, cosine, and tangent serve foundational roles, providing essential tools for solving problems involving triangles and circular functions, with the reference angle concept being crucial for angles exceeding 90 degrees.