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The development of modern trigonometry shifted during the western Age of Enlightenment, beginning with 17th-century mathematics (Isaac Newton and James Stirling) and reaching its modern form with Leonhard Euler (1748).
This enabled. us to deï¬ne the sine and cosine of angles greater than 90â and to plot the graphs of the. trigonometric functions and discover their periodic nature. The sine and cosine functions are used to model periodic phenomena in nature, such as. waves, tides and signals.