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In most schools across the USA, students must take geometry before trigonometry. Is geometry needed before trigonometry? If so, why?
Geometry IS needed before trigonometry. You should already be familiar with algebra and geometry before learning trigonometry.
The most important concept from geometry brought forward to Trigonometry is knowing the trigonometry ratios;
sine = opposite side/hypotenuse,
cosine = adjacent side/hypotenuse
tangent = opposite side/ adjacent side
and also knowing the relationship between the side lengths of the 45°-45°-90° triangle and also the relationship between the lengths of the 30°-60°-90° triangle.
But true mathematics is all about proofs!