Dive into a comprehensive 5-hour precalculus course covering a wide range of mathematical concepts. Explore functions, including increasing and decreasing functions, maximums and minimums on graphs, even and odd functions, and toolkit functions. Learn about transformations, piecewise functions, and inverse functions. Study angles, arclength, and areas of sectors. Delve into trigonometry, covering right angle trigonometry, special angles, unit circle definitions, and properties of trigonometric functions. Examine graphs of various trigonometric functions and their transformations. Master trigonometric equations, identities, and formulas, including Pythagorean identities, angle sum and difference formulas, and double and half angle formulas. Apply knowledge to solving triangles using the Law of Cosines and Law of Sines. Explore conic sections, including parabolas, ellipses, and hyperbolas. Conclude with an introduction to polar coordinates, parametric equations, and the difference quotient.
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