why main functions were invented
why was hyperbolic Cosine invented
what is to bridge the gap between exponential functions and the geometry of a hyperbola
what other math subject does trigonometry connect to
what is calculus
what is tangents evolution
what is the historical timeline of the mathematical concept of tangents and trigonometric tangent functions
how was arctan (tan-1) used
what is to find an angle when you know the ratio of two sides of a right triangle
what is trigonometry essential to understand in science?
what is vectors, forces and wave functions
why was Secant invented
what is to use it to simplify astronomical and navigational calculations
where was the concept of Tangent found in
what is Greece
how long was the span of Sine's evolution (+/- 100 years)
what is around 1500 years
how was cosine used
what is to find missing distances
what is a use of trigonometry
what is finding heights of tall structures
why was tangent invented?
what is to solve practical problems involving heights and distances
what does trigonometry heavily rely on?
what is right angled triangles
how long did trigonometry evolve throughout its years (+/- 500 years)
what is 4000 years
how was Cotangent used
what is to solve practical problems in astronomy and surveying
another use of trigonometry
what is for computer graphics and gaming
why was Cosecant invented
what is to calculate the sides and angles of triangles more efficiently
what is trigonometry about?
what is the study of triangles and relationships between the angles and sides
what was secants evolution
what is that it originated as a geometric line used by astronomers to calculate distances
how was Sine used?
what is a mathematician used it to calculate positions of stars and planets
what is another use for trigonometry
what is being used for GPS and navigation to determine exact physical locations on the earth
why was versine invented
what is to simplify manual mathematical calculations in ancient astronomy and navigations
true or false: did trigonometry have different functions than Sine cosine or tangent
what is true
what is hyperbolic tangents evolution
what is it evolved from classical geometry and calculus into a staple mathematical and computational tool
how was hyperbolic Sine used
what is to represent Lorentz boosts in special relativity
what is a complicated, yet important use of trigonometry (just guess a single one of these two when the answer appears)
what is the Fourier analysis and/or the fast fourier transform