File: Calculus All Formula Pdf 173733 | Eulerformula
euler s formula and trigonometry peter woit department of mathematics columbia university september 10 2019 these are some notes rst prepared for my fall 2015 calculus ii class to give ...
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...Euler s formula and trigonometry peter woit department of mathematics columbia university september these are some notes rst prepared for my fall calculus ii class to give a quick explanation how think about using mula this is then applied calculate certain integrals involving trigonometric functions the sine cosine as coordinates unit circle subject often motivated by facts triangles but it best understood in terms another geometrical construction one can dene denition given point on at counter clockwise angle from positive x axis cos coordinate sin y picture looks like identities follow immediately particular since all points plane with satisfying we have other trignometric reect much less obvious property their behavior under addition angles following two formulas which not goal explain method calculation makes easily relating them properties exponentials complex acomplex number c sum ib where b real numbers called part imaginary i symbol that any denes its conjugate changing sign l...