Which algebraic simplification enabled Islamic astronomers to improve astrolabe accuracy by reducing calculation steps?

💡 Explanation

When Islamic astronomers refined astronomical calculations, trigonometric identities were used because they simplified complex angular relationships, leading to fewer manual computation steps needed calculating celestial positions with astrolabes. Therefore use of identities increased accuracy, rather than alternative methods which add geometric constructions or are numeral systems.

• Which outcome arises when an astrolabe's alidade is misaligned relative to the horizon ring during solar altitude measurement?
• Which optical outcome critically limited the accuracy of early astrolabes using pinhole sights?
• Which long-term consequence results from the construction of inadequately designed agricultural terraces on steep slopes?
• Which geometrical projection facilitated the construction of flat astrolabes during the Islamic Golden Age?
• Which outcome resulted when chinampa farming methods experienced prolonged drought conditions in Mesoamerica?
• Which structural behavior was exploited when building cantilever bridges across deep gorges in the 19th century?