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" In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle. "
New Plane and Spherical Trigonometry - Pàgina 63
per Webster Wells - 1896 - 126 pàgines
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A Course in Electrical Engineering, Volum 2

Chester Laurens Dawes - 1922 - 600 pàgines
...tan 2x = - tan2x o sin , Law of Sines. — In any triangle 6_ C sin B sin C of Cosines. — In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of their...
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Plane Trigonometry: With Practical Applications

Leonard Eugene Dickson - 1922 - 225 pàgines
...its base. 17. Solve Exs. 2 and 7 of Art. 88 by using only right triangles. 90. Law of cosines. In any triangle the square of any side is equal to the sum of the squares of the remaining two sides diminished by double the product of those two sides multiplied by...
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Practical Mechanics and Strengths of Materials

Charles Wilbur Leigh - 1923 - 294 pàgines
...sides are to each other as the sines of the opposite angles, or bc (lg) (3) Law of cosines. In any triangle, the square of any side is equal to the sum of the squares of the dther two sides, minus twice their product into the cosine of their included angle,...
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Industrial Electricity, Part 2

Chester Laurens Dawes - 1925 - 502 pàgines
...20° - 127.1° = 32.9°. Ans. b 12 , ,„ 0.543 sin 32.9° sin 20° 0.342 " Law of Cosines. — In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of their...
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Handbook Encyclopedia of Engineering: A Compact Work of Reference Containing ...

Franklin D. Jones - 1928 - 1254 pàgines
...other side; or, if a and I, be the sides, and A and B the angles opposite them: a sin A b sin B In a triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice their product times the cosine of the included angle; or...
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Mechanism Analysis: Simplified and Graphical Techniques, Second Edition,

Lyndon O. Barton - 1993 - 744 pàgines
...remembered using Figure B.3. 270' Figure B.3 Sign diagram. Laws for Oblique Triangles Law of Cosines In any triangle, the square of any side is equal to the sum of the squares of the other sides minus twice their product times the cosine of their included angle. For...
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Schaum's Outline of Precalculus

Fred Safier - 1997 - 420 pàgines
...side is the same for all three sides: a a sin« sinjS sin« sin/ sin ß sin 7 LAW OF COSINES: In any triangle, the square of any side is equal to the sum of the squares of the other two sides, diminished by twice the product of the other two sides and the cosine...
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Schaum's Outline of Trigonometry

Robert E. Moyer - 1998 - 246 pàgines
...sin C For a proof of the law of sines, see Prob. 11.1. or b 11.3 LAW OF COSINES In any triangle ABC, the square of any side is equal to the sum of the squares of the other two sides diminished by twice the product of these sides and the cosine of the...
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Shop Reference for Students and Apprentices

Christopher J. McCauley - 2000 - 532 pàgines
...sinB asinB sinA asinC sinA or b = csiaA sinC fsinB sinC fcsinC Mil/1' The Law of Cosines. — 1n any triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice their product times the cosine of the included angle; or...
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