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Half-angle formulae

Trigonometric ratios and identities · Mathematics

Study notes

Q: Find sin 15° using the half-angle formula with A = 30°. sin²15° = (1 - cos30°)/2 = (1 - √3/2)/2 = (2-√3)/4. sin 15° = √(2-√3)/2 (positive, 15° in Q1). Numerically ≈ 0.2588.

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