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Section 9.1 Degrees and Radians:
Section 9.1 Degrees and Radians:

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Beverley Taylor Sorenson College of Education and Human

Circles, Arcs and Angles
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... Circles and Right Angles The circumcircle for ΔABC exists. Thus, ACB is inscribed in the circle and the arc AB is measured by 2C. C = 90°  2C = 180°  AB is a diameter. ...
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< 1 ... 340 341 342 343 344 345 346 347 348 ... 612 >

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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