how is the law of cosines related to the pythagorean theorem
Law of cosines The law of cosines generalizes the Pythagorean theorem, which holds only for right triangles: if the angle γ is a right angle (of measure 90° [degrees], or π/2 radians), then cos γ = 0, and thus the law of cosines reduces to the Pythagorean theorem:
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Standard deviation This means that the standard deviation is equal to the square root of the difference between the average of the squares of the values and the square of the average value. See computational formula for the variance for proof, and for an analogous result for the sample standard deviation.
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The Pale The word pale derives ultimately from the Latin word