Trigonometry tells us that the sine of a 30° angle is 1/2, whereas the sine of a 90° angle is 1.
SmallBASIC is also intended as a tool for mathematics, with built-in functions for Unit conversion, Algebra, Matrix math, Trigonometry, Statistics, and for two and three dimensional Equation Graphing.
The analogy between circular and hyperbolic functions was described by Augustus De Morgan in his Trigonometry and Double Algebra (1849).
The school offers various standard courses in the areas of English (aka. Writing, or Literature), Math (such as Algebra I, Geometry, Algebra II, Calculus, Trigonometry, et cetera), Science, (such as Biology or Chemistry), Social or Global Studies (with areas such as World History, US History, and Humanities), Physical Education and Health, as well as electives such as "Band", "Art", or "Choir".
As a WAC, June studied electronics at Northwestern University, learning trigonometry and calculus through extensive tutoring, since she had no special aptitude for higher math.
The school at this time was supposed to be a grammar school taking pupils from all over North Monmouthshire with a curriculum of Latin, English, History, Geography, French, Arithmetic, Algebra, Trigonometry and Chemistry.
Following Glen Van Brummelen (Reference 1 below, p. 129, stereographic projection), spherical trigonometry, though certainly no longer relevant to the older scientific needs of navigation, astronomy, geography, etc., other than as historical mathematics, has nevertheless seen a "rebirth" today due to simulation, game programming, Autodesk Maya, kinematics, physics engines, and many other new fields as diverse as optics, photography, art and medicine.
Some of these classes may further expand on a subject for traditional school (for example, there is a Genetics class that goes into greater depth in the study of DNA than normal school classes) or they may deal with a radically different subject (for example, one teacher has trigonometry course).
Sphaerics had its own shortcomings, for example Hipparchus had already introduced trigonometry, but Theodosius makes no use of it, perhaps because he was basing it on an earlier work by Eudoxus.