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Trigonometry
Composed c.1500 CE in kerala,Tantrasamgraha is an astronomical treatise took world trigonometry to new heights
Tantrasamgraha discusses all aspects of mathematical astronomy such as longitudes and latitudes of planets diurnal problems, eclipses, visibility & time. Tantrasamgraha was the first work in the world to define trigonometric functions in terms of right angles rather than circles. The work deduces 1000 odd trigonometrical identities most of which are valid to this day.
The tantrasamgraha-vakhya gives the derivations for arc sine, arc cos and arc tan.
Power series
Tantrasamgraha-vakhya was the first work in the world to derive and use power series
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