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Which calculation enabled medieval Islamic astronomers to refine geocentric models using complex epicycles?

A)Spherical trigonometry for parallax
B)Differential calculus for orbital velocity
C)Algebraic manipulation of conic sections
D)Fourier analysis of irradiance patterns

💡 Explanation

Medieval Islamic astronomers used spherical trigonometry because it allowed them to calculate angles and distances on the celestial sphere, essential for modeling planetary positions with epicycles. Therefore, spherical trigonometry, rather than calculus, algebraic manipulation, or Fourier analysis, was critical due to trigonometry's geometrical applicability.

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