Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Trigonometric_constants_expressed_in_real_radicals> ?p ?o }
- Trigonometric_constants_expressed_in_real_radicals abstract "Exact algebraic expressions for trigonometric values are sometimes useful, mainly for simplifying solutions into radical forms which allow further simplification.All trigonometric numbers—sines or cosines of rational multiples of 360°—are algebraic numbers (solutions of polynomial equations with integer coefficients); but not all of these are expressible in terms of real radicals. When they are, they are expressible more specifically in terms of square roots.All values of the sines, cosines, and tangents of angles at 3° increments are derivable in radicals using identities—the half-angle identity, the double-angle identity, and the angle addition/subtraction identity—and using values for 0°, 30°, 36°, and 45°. Note that 1° = π/180 radians.According to Niven's theorem, the only rational values of the sine function for which the argument is a rational number of degrees are 0, 1/2, 1, −1/2, and −1.".
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- Trigonometric_constants_expressed_in_real_radicals wikiPageWikiLinkText "Trigonometric constants expressed in real radicals".
- Trigonometric_constants_expressed_in_real_radicals date "August 2012".
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- Trigonometric_constants_expressed_in_real_radicals reason "What are 'primary solution angles'?".
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