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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).
Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry (trig as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles.