law of cosines

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law of cosines

Generalization of the Pythagorean theorem relating the lengths of the sides of any triangle. If a, b, and c are the lengths of the sides and C is the angle opposite side c, then c² = a² + b² − 2ab cos C.

law of cosines [′lȯ əv ′kō‚sīnz]

(mathematics)

Given a triangle with anglesA, B,andCand sidesa, b, copposite these angles respectively:a²=b²+c²- 2bccosA.

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No references found			For example, one pre-service teacher included the question "Why would it be more appropriate to use the law of cosines in solving this problem than using the law of sines? Challenges facing pre-service secondary teachers by Olson, Jo Clay / Academic Exchange Quarterly The relationship between the Law of Cosines and the dot product is, of course, a known mathematical result. On two types of learning (in mathematics) and implications for ... by Quinn, Terrance / Focus on Learning Problems in Mathematics This leads to the law of cosines corresponding to the sum of squares basic to the derivation of Gaussian least squares. Rationale and Paradigm for Opinion Forming by Fernwood, Grail O. / Appraisal Journal			Lavrovskii, Konstantin Petrovich Lavrovskii, Leonid Lavrovskii, Leonid Mikhailovich Lavrovskii, Mikhail Lavrovskii, Mikhail Leonidovich Lavrovsky, Leonid Lavsan Law Law and Order law code Law Code of Beki and Agbugi Law Code of Casimir of 1468 Law Code of Georgi V Law Day Law Journals Law Making law merchant law of action and reaction Law of Areas law of closure law of constant angles law of constant heat summation law of contradiction law of corresponding states law of corresponding times law of cosines law of definite composition law of definite proportion Law of Diminishing Returns law of electric charges law of electromagnetic induction law of electrostatic attraction law of equal areas law of exponents law of flotation law of gravitation law of large numbers law of magnetism law of mass action law of minimum Law of Obligations law of parallel solenoids law of partial pressures law of quadrants law of rational intercepts law of reciprocity law of reflection law of signs law of simple multiple proportions law of sines law of species			law of conservation of energy law of conservation of mass law of conservation of mass law of conservation of mass law of conservation of mass Law of Conservation of Mass-Energy Law of Conservation of Mass-Energy Law of Conservation of Mass-Energy law of conservation of matter law of conservation of matter law of constant angles Law of constant composition Law of constant compostion law of constant heat summation law of constant proportion Law of constant proportions law of contiguity law of continuation Law of continuity Law of contracts Law of contracts Law of contracts Law of contracts Law of contracts Law of contradiction Law of cooling Law of Corporate Officers and Directors Rights Law of corresponding states law of corresponding times Law of cos law of cosines Law of costs Law of costs Law of Dalton Law of definite composition Law of definite composition Law of definite composition law of definite proportion law of definite proportions law of definite proportions law of definite proportions Law of demand Law of demand Law of demand Law of Demeter for Concerns Law of diminishing marginal return Law of diminishing marginal return Law of diminishing marginal returns Law of diminishing marginal returns Law of diminishing marginal returns Law of diminishing marginal returns Law of diminishing marginal returns Law of Diminishing Marginal Utility Law of Diminishing Marginal Utility law of diminishing returns law of diminishing returns law of diminishing returns law of diminishing returns law of diminishing returns law of dominance law of dominance

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