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" That is to say, we cannot express the area of a triangle in terms of two sides and the included angle... "
The Teaching of Algebra (including Trigonometry) - 262. lappuse
autors: Sir Thomas Percy Nunn - 1919 - 616 lapas
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Calendar

University of St. Andrews - 1903
...between the centres of two adjacent faces, and the diagonal of the cube. C. 14. Find an expression for the area of a triangle in terms of two sides and the included angle. Show that Jc2 sin B (cos B + sin B cot C) is an expression for the area of the triangle ABC. 15. How...
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The Teaching of Algebra (including Trigonometry)

Sir Thomas Percy Nunn, Thomas Percy Nunn - 1914 - 616 lapas
...equivalence area = £ca sin /? still remains, the second formula becomes area = \bc sin (180° - a). That is to say, we cannot express the area of a triangle...agreeing that angles between 90° and 180° shall be considered to have sines, the rule being that sin a = sin (180° - a) — or, in words, that the...
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The Teaching of Algebra (including Trigonometry)

Sir Thomas Percy Nunn, Thomas Percy Nunn - 1914 - 616 lapas
...equivalence area = $ca sin /? still remains, the second formula becomes area = $bc sin (180° - a). That is to say, we cannot express the area of a triangle...agreeing that angles between 90° and 180° shall be considered to have sines, the rule being that sin a = sin (180° - a) — or, in words, that the...
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Logarithmic and Trigonometric Tables

Herbert Ellsworth Slaught - 1914 - 97 lapas
...S=%bc where c is the base and b the altitude. We therefore have a single formula S =1 be sin A 2 for the area of a triangle in terms of two sides and the included angle, whether the latter be acute, right, or obtuse. 41. The law of sines. Since the triangle has three angles...
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Plane Trigonometry and Applications

Ernest Julius Wilczynski - 1914 - 265 lapas
...formula reduces to S=%bc where c is the base and b the altitude. We therefore have a single formula for the area of a triangle in terms of two sides and the included angle, whether the latter be acute, right, or obtuse. 41. The law of sines. Since the triangle has three angles...
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Trigonometry

I.M. Gelfand, Mark Saul - 2001 - 229 lapas
...acute triangle ABC, show that c = a cos B + bcosA. 8 Two remarks Remark 1: Note that these formulas express the area of a triangle in terms of two sides and an included angle. We knew from geometry that these three pieces of information determine the triangle...
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A Class Book of Trigonometry

...9. 7. 19, 18, 17. 8. 43, 27, 32. 9. 45, 27, 21. 10. 117, 210, 184. CHAPTER XVII. AREAS. 133. To find the area of a triangle in terms of two sides and the included angle. A Let ABC be the triangle, the angle В being acute, and the angle С being either acute, obtuse or...
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