Reteach 7.3
... Explain why the triangles are similar and then find each length.
...
Document
... the Laws of Cosines and Sines
• When two sides of a triangle and the angle between
them are known the Law of Cosines is useful. It is also
useful if all three sides of a triangle are known.
• The Law of Sines is useful when we know a side and the
angle opposite it and one other angle or one other si ...
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.
