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3.5 One Step Proofs
3.5 One Step Proofs

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5 Minute Check, 26 Sep

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Mixed Trig Review
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... area of the lot and the measure of the largest angle. 12. The area of ABC is 21.213 square feet; AC = 5 ft., and angle C = 45º. Find the length of BC and the length of the altitude to BC. 13. If the measures of two angles are equal, then the sides opposite these angles must be congruent. Prove this ...
Module 2 - Project Maths
Module 2 - Project Maths

... Example: Corollary 6 - This corollary follows Theorem 20 and states :“If two circles share a common tangent line at one point, then the centres and that point are collinear”. Converse: The converse of a theorem is formed by taking the conclusion as the starting point and having the starting point as ...
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Geometric Construction

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COVENANT UNIVERSITY, OTA 2014/2015 Academic Session
COVENANT UNIVERSITY, OTA 2014/2015 Academic Session

... A. BRIEF OVERVIEW OF COURSE This course is a preparation course intended for students majoring in engineering, mathematics, physics, chemistry, computer science and other vocational fields. The course is a study of both trigonometric and analytic geometry. Topics include the trigonometric functions ...
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Theorem 1. (Exterior Angle Inequality) The measure of an exterior

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... The sum of the interior angles in any convex quadrilateral is less than or equal to 360° Proof: Step 1: Show that if □ABCD is a convex quadrilateral then both pairs of opposite sides are semiparallel. In other words, AB and CD are semiparallel and BC and AD are semiparallel. Step 2: Find triangles t ...
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Unit 7

... angles, and the midlines of triangles. I can state the sum of the measures of the three angles of a triangle. I can identify an exterior angle in a diagram. I can recognize the relationship between an exterior angle and the sum of the measures of the remote interior angles in a triangle. I can recal ...
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Chapter 3 Right Triangle Trigonometry - nwss
Chapter 3 Right Triangle Trigonometry - nwss

< 1 ... 494 495 496 497 498 499 500 501 502 ... 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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