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  1. The Law of Cosines - Math is Fun

    We know angle C = 37º, and sides a = 8 and b = 11. The Law of Cosines says: c 2 = a 2 + b 2 − 2ab cos (C) Put in the values we know: c 2 = 8 2 + 11 2 − 2 × 8 × 11 × cos (37º) Do some calculations: c 2 = …

  2. Law of cosines - Wikipedia

    In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.

  3. Law of Cosines - Formula, Proof, Definition | Cosine Rule

    Law of Cosines: Definition Statement: The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the …

  4. Law of Cosines - Math Steps, Examples & Questions

    What is the law of cosines? The law of cosines (or cosine rule) is a formula that can be used to calculate a missing side or missing angle in a triangle. To apply the law of cosines, you need to know the …

  5. Law of Cosines: How and when to use Formula, examples ...

    Law of cosines formula to find the side or the angle in a triangle. Model and practice problems worked out step by step with pictures.

  6. Law of Cosines Calculator

    You will learn what is the law of cosines (also known as the cosine rule), the law of cosines formula, and its applications. Scroll down to find out when and how to use the law of cosines, and check out the …

  7. Law of Cosines — Formula, Proof & Examples - Mathspar

    In this tutorial, we’ll look at the law of cosines – a critical concept when it comes to solving triangles. But before we dive into the law, here’s a quick summary of the convention we use to denote angles and …

  8. Law of cosines | Definition, Formulas, & Facts | Britannica

    Nov 17, 2025 · What is the law of cosines? The law of cosines, also known as the cosine formula or cosine rule, is a generalization of the Pythagorean theorem. It relates the lengths of the sides of any …

  9. Law of Cosines - Math.net

    Given the triangle below, where A, B, and C are the angle measures of the triangle, and a, b, and c are its sides, the Law of Cosines states: a 2 = b 2 + c 2 - 2bc·cos (A)

  10. Law of Cosines - GeeksforGeeks

    Jul 23, 2025 · Law of Cosines is the fundamental law of mathematics used to find the angle of the triangle when all three sides of the triangle are given. This law is also called the Cosine Rule Or the …