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geometric mean
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the positive square root of the product of two numbers
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trigonometric ratio
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a ratio of two sides of a right triangle
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angle of elevation
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the angle formed by a horizontal line and a line of sight to a point above the line
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angle of depression
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the angle formed by a horizontal line and a line of sight to a point below the line
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theorem 8-1-1
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the altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle
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the law of sines
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for any triangle ABC with side lengths a, b, and c, sinA/a = sinB/b = sinC/c
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the law of cosines
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for any triangle ABC with side lengths a, b, and c, a2 = b2 + c2 -2bc cosA, b2 = a2 + c2 -2ac cosB, and c2 = a2 + b2 -2ab cosC
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sine
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the ratio of the length of the leg opposite the angle to the length of the hypotenuse
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sin = opposite/hypotenuse
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cosine
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the ratio of the length of the leg adjacent to the angle to to the length of the hypotenuse
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cos = adjacent/hypotenuse
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tangent
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the ratio of the length of the leg opposite the angle to the length of the leg adjacent to the angle
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tan = apposite/adjacent
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Cheatography n. The art of mapping complex subjects into clear, instantly navigable reference guides.