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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).
Trigonometry is used throughout mathematics, especially here in calculus. The key to. trig in calc is nding the derivatives of the sine and cosine functions. Almost everything else. follows from those. Derivatives are de ned in terms of limits, so that means we need to know. something about limits and trig functions. The derivative of the sine function. Letâs see what limits we need.