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Some key contributors to the development of trigonometry include ancient civilizations such as the Babylonians and Egyptians, who used rudimentary trigonometric concepts for practical purposes. The Greek mathematician Hipparchus is often credited with formalizing the field of trigonometry, introducing the trigonometric functions and developing the earliest trigonometric tables. Later, Islamic mathematicians such as Al-Battani and Al-Khwarizmi made significant advancements in trigonometry, further expanding its applications in astronomy, geography, and mathematics. These early pioneers laid the foundation for the modern study and application of trigonometry in various fields.
The tonic in any scale is the 1st scale degree. For example, in the key of F major, the tonic is F.
'Eye of the Tiger' was written in the key of C minor, so it's in a minor key.
The leading tone in a key is one half-step below the tonic. In the key of A major, the leading tone is G-sharp.
A key is generally driven parallel to the shaft whereas a cotter is driven perpendicular to the shaft. A key is subjected to torsion whereas a cotter is subjected to tensile and compressive forces. A key resists shear over a longitudinal section whereas a cotter resists shear over two transverse sections. A key joint is used to transmit a positive drive b/w two rotating parts whereas a cotter joint is used to transmit axial pull or push b/w to rods and they DO NOT rotate.