Which mathematician is often referred to as the 'father of trigonometry' for compiling the first known table of chords and developing techniques for solving plane and spherical triangles?

The term 'sine' is derived from a Latin mistranslation of the Arabic word 'jayb' (pocket or fold), which itself originated from which Sanskrit term used by the mathematician Aryabhata?

Which basic trigonometric term refers to the line segment that 'touches' a circle at a single point, and which mathematician is credited with the first known use of the law of sines in its spherical form during the Islamic Golden Age?

Which 16th-century mathematician and astronomer was the first to treat trigonometry as a distinct branch of mathematics, independent of astronomy, in his work 'De Triangulis Omnimodis'?

Which basic trigonometric term, meaning the 'reciprocal of the cosine', is derived from the Latin word for 'to cut', and which mathematician first introduced this term in the 16th century?

The term 'Trigonometry' was first coined as the title of a 1595 book by which mathematician, and which fundamental term in his work describes the 'complementary tangent'?

Which 16th-century mathematician, who was a student of Nicolaus Copernicus, is credited with being the first to define trigonometric functions as ratios of the sides of a right triangle rather than lengths of chords within a circle?

Which mathematician is credited with the first known use of the law of tangents and the first proof of the sine rule for plane triangles in his 13th-century work 'Treatise on the Quadrilateral'?

Which 16th-century mathematician and cartographer is credited with being the first to use the term 'trigonometry' (in its Latin form 'Trigonometria') as the title of an influential textbook?

Which 16th-century mathematician, who was a student of Nicolaus Copernicus, is credited with being the first to define trigonometric functions as ratios of the sides of a right triangle rather than lengths of chords in a circle?

Which 11th-century Persian polymath, known for his work in both poetry and mathematics, provided a systemic method for solving cubic equations by intersecting conic sections and contributed significantly to the understanding of trigonometric identities and geometric proofs?