Trigonometry hack: How to quickly convert between degrees and radians

Mastering degree-radian conversions is crucial for trigonometry and calculus. Radians simplify mathematical formulas, especially in calculus where trigonometric function derivatives rely on radian measures. The conversion formulas, derived from the 360 degrees = 2π radians equivalence, are essential for accurate calculations. Memorizing common angle conversions and practicing consistently builds fluency and avoids common pitfalls like incorrect calculator modes.

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