Law of Cosines definitions Flashcards
Law of Cosines definitions
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Law of Cosines A set of equations relating the squares of triangle sides to a known angle, used when the law of sines is not applicable. SAS Triangle A triangle where two sides and the included angle are known, allowing use of the law of cosines to find the third side. SSS Triangle A triangle where all three sides are known, enabling calculation of any angle using the law of cosines. Included Angle The angle formed between two known sides in a triangle, essential for applying the law of cosines in SAS cases. Cosine A trigonometric function used in the law of cosines to relate side lengths and angles in a triangle. Ambiguity A situation in triangle solving where more than one solution for an angle exists, avoided when using the law of cosines. Pythagorean Theorem A special case of the law of cosines where the included angle is 90 degrees, simplifying the formula. Angle Sum Formula The rule stating that the interior angles of a triangle always add up to 180 degrees. Inverse Cosine A function used to determine an angle from its cosine value, yielding a unique result between 0 and 180 degrees. Corresponding Side The side in a triangle that is opposite a specific angle, crucial for setting up equations in the law of cosines. Rounding Error A small inaccuracy introduced when approximating values, minimized by keeping calculations in exact form. Plug and Chug A straightforward calculation process where known values are substituted directly into a formula. Variation A specific form of the law of cosines equation, chosen based on which side or angle is being solved for. Triangle Solving The process of finding unknown sides and angles in a triangle using trigonometric laws and formulas. Known Angle An angle in a triangle whose measure is provided, allowing the application of the law of cosines.
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