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congruent triangles SSS and SAS
congruent triangles SSS and SAS

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... Triangle ABC is inscribed in a circle, centre O. ∠AOB = 100º and ∠COB = 140º Determine the values of xº, yº, and zº. What’s the angle of a full circle?  360º. So, the angle all the way around the origin needs to add up to 360º.  100º + 140º + xº = 360º  xº = 120º yº is an inscribed angle. What’s ...
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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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