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Section 2.1 – Undefined terms, postulates, segments and angles
Section 2.1 – Undefined terms, postulates, segments and angles

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March 9 Trig functions - Woodland Hills School District

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... GLCE Geometry: G.GS.06.01 Understand and apply basic properties of lines, angles, and triangles, including: • triangle inequality • relationships of vertical angles, complementary angles, supplementary angles • congruence of corresponding and alternate interior angles when parallel lines — are cut b ...
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Trigonometry Sine Rule = = = ( ) Area of Triangle

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... Vocabulary: center, radius, diameter, chord, tangent, secant, minor and major arc, central angle, inscribed angle (pg. 75, 76) Chords and Tangents: Explain why the center of a circle always lies on a perpendicular bisector of its chord (pg 77). Use this property to find the (unknown) center of a giv ...
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KS3 Shape 10 Pythagoras and Trigonometry

... apply to right-angled triangles. Whereas Pythagoras’ theorem allows you to find a missing length if you are given the other two lengths (it is all about lengths!), trigonometry allows you to find an angle, or use an angle to find a missing length if you are given just one other length. Ensure plenty ...
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Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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