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並前往https://www.alamo.edu/contentassets/35e1aad11a064ee2ae161ba2ae3b2559/analytic/math2412-double-angle-power-reducing-half-angle-identities.pdf

Double-Angle, Power-Reducing, and Half-Angle Formulas

cos 2x = cos2 x – 1 + cos2 x cos 2x = 2cos2 x – 1. Third double-angle identity for cosine. Summary of Double-Angles. • Sine: sin 2x = 2 sin x cos x.

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