NSEA · Elementary Astronomy

Spherical Trigonometry

Sine and cosine rules on a sphere — used for converting between coordinate systems.

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About this topic in NSEA

  • Previous papers: 8 official question papers from Indian Association of Physics Teachers (IAPT) — 2025, 2024, 2023, 2021-22 and 2 earlier years.
  • Practice: 2 answer-checked practice questions on Spherical Trigonometry for NSEA — practise them.
  • Next exam day: NSEA 2026 exam: 21 Nov 2026 (Official, iapt.org.in).

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  • Q1 · Spherical Trigonometry · HARD

    Two stars have right ascensions α₁ = 2h and α₂ = 8h, and both have declination δ = +30°. What is the angular separation between them on the celestial sphere?

  • Q2 · Spherical Trigonometry · HARD

    Two stars A and B have celestial coordinates (α₁ = 3h 20m, δ₁ = +40°) and (α₂ = 5h 40m, δ₂ = +30°) respectively. What is the approximate angular separation between them?

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