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  1. Dictionary
    co·sine
    /ˈkōˌsīn/

    noun

    • 1. the trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse.

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  2. en.wikipedia.org › wiki › Sine_and_cosineSine and cosine - Wikipedia

    4 days ago · In mathematics, sine and cosine are trigonometric functions of an angle.

  3. www.britannica.com › science › trigonometryTrigonometry | Definition, Formulas, Ratios, & Identities

    Jun 17, 2024 · Trigonometry, the branch of mathematics concerned with specific functions of angles. There are six functions commonly used in trigonometry: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). Learn more about trigonometry in this article.

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  5. en.wikipedia.org › wiki › Trigonometric_functionsTrigonometric functions - Wikipedia

    4 days ago · The law of cosines (also known as the cosine formula or cosine rule) is an extension of the Pythagorean theorem: = + ⁡, or equivalently, ⁡ = +. In this formula the angle at C is opposite to the side c.

  6. www.mometrix.com › academy › law-of-cosinesWhat is the Law of Cosines? (Video & Practice Questions)

    Jun 20, 2024 · The missing side length c can be calculated using the Law of Cosines. The formula \(c^2=a^2+b^2-2ab\text{cos}(C)\) becomes \(c^2=8^2+11^2-(2\times8\times11)\text{cos}(37)\) when the provided values are plugged in. \(\text{cos}(37)\) is approximately \(0.7986\), so this can also be plugged into the formula.

  7. serc.carleton.edu › mathyouneed › trigonometryHow do I deal with angles? - Trigonometry

    Jun 30, 2024 · Three trigonometric ratios that we use in the geosciences are called the sine, the cosine, and the tangent, although they are often abbreviated sin, cos, and tan, respectively. Because the trigonometric functions come up over and over, it is a good idea to figure out a way to remember their definitions.

  8. www.britannica.com › science › law-of-cosinesLaw of cosines | mathematics | Britannica

    Jun 13, 2024 · The law of cosines is a 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 − 2 ab cos C. The reciprocal of the cosine is the secant: 1/ cos A = sec A.

  9. www.britannica.com › science › trigonometryTrigonometry - Angles, Triangles, Sines | Britannica

    Jun 17, 2024 · The amount by which each spherical triangle exceeds two right angles (in radians) is known as its spherical excess. The area of a spherical triangle is given by the product of its spherical excess E and the square of the radius r of the sphere it resides on—in symbols, Er2.

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