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Mathematics - Trigonometry (Form III & IV)
Muhtasari / Summary: SOH-CAH-TOA, special angles, sine rule, cosine rule.
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Trigonometry studies relationships between angles and sides of triangles. For right-angled triangles: sinθ = opposite/hypotenuse, cosθ = adjacent/hypotenuse, tanθ = opposite/adjacent – remembered as SOH-CAH-TOA. Special angles: sin30°=0.5, cos60°=0.5, sin45°=cos45°=√2/2, tan45°=1. For non-right triangles: Sine Rule a/sinA = b/sinB = c/sinC. Cosine Rule: a² = b² + c² − 2bc·cosA. Area of any triangle = ½ab·sinC.