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Precalculus 3: Trigonometry

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Description: Precalculus 3: TrigonometryMathematics from high school to universityS1. Introduction to the courseYou will learn: what is awaiting in this course, and what you are going to learn.S2. Crash course in Euclidean geometryYou will learn: everything you need to know about geometry in order to feel comfortable with the new content in this course: geometrical concepts such as straight lines, straight line segments, angles, triangles (acute, right, obtuse), polygons, circles (inscribed, circumscribed), congruence rules for triangles (SSS, SAS, ASA), similar triangles, Thales' theorem, Pythagorean theorem, congruence rules for right triangles (HA, HL, LL), measuring angles, measuring distances, computing area of squares and triangles, isometries in the plane (symmetries, rotations, translations).S3.14159... The magnificent number πYou will learn: about the number π: its meaning for circles and disks, and some basic (geometrical) approximation methods.S4. Trigonometric functions of acute angles: the geometric approachYou will learn: the geometric definition of six trigonometric functions, why there are six of them, and how we can know that they are well defined as functions of (acute) angles; first (very basic) relationships between these functions.S5. Computing exact values of trigonometric functionsYou will learn: how to derive the exact values of trigonometric functions for angles: 15, 18, 30, 36, 45, 54, 60, 72, 75, and 22.5 degrees using geometric methods; we will also derive, also using just geometry, some trigonometric formulas valid for acute angles (but later, in the second half of the course, you will learn that all of them are valid just for any angle, so they are really worth learning); these formulas will be then used for computing values of trigonometric functions for some angles (knowing the values for some other angles). We will,
Category: Teaching & Academics > Math > Trigonometry
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Price: 179.99
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Source: Impact
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