Subject: Mathematics
Book: Maths Mastery
To convert (x, y) to polar coordinates (r, θ), use r = √(x² + y²) and θ = tan⁻¹(y/x) (adjusting for quadrant to get correct angles). For example, if x=3, y=3, then r=√18=4.2426..., θ=45°. Conversions unify geometry with trigonometry, letting you interpret points in radial or directional forms. Applications appear in drafting circular motion, analyzing wave patterns, or setting up integrals in advanced calculus. Comfort with conversions fosters deeper 2D geometry insights, bridging rectangular and polar analyses seamlessly.
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