These examples are programmatically compiled from various online sources to illustrate current usage of the word 'cosine.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. 2021 Markets move through something of a sine, cosine pattern from a seller’s market to a buyer’s market and back again. The meaning of COSINE is a trigonometric function that for an acute angle is the ratio between the leg adjacent to the angle when it is considered part of a. 2021 In 1807, Joseph Fourier discovered that any periodic function - an equation whose values repeat cyclically - could be expressed as the sum of trigonometric functions like sine and cosine. 2022 Among the things students are typically taught in high school: how to find the cosine of an angle, what started the War of 1812, and the chemical composition of salt. Students denote sine, cosine, and tangent. Remember that the basic trig functions (sine, cosine, tangent) are just ratios of sides of right triangles. Students define sine, cosine, and tangent of, where is the angle measure of an acute angle of a right triangle. ![]() 2023 Illustration: Rhett Allain This solution includes the trigonometric function cosine. 2023 Although the proof is an impressive bit of mathematics, other mathematicians have employed similar approaches before, using sine and cosine to independently prove the Pythagorean Theorem without relying on sin²α + cos²α = 1. Leila Sloman, Scientific American, 10 Apr. 2023 These functions, such as the sine and cosine, are defined using right triangles. In exactly the same way, the formula relating the three sides of a hyperbolic right triangle is. Cosine Cosine, written as cos (), is one of the six fundamental trigonometric functions. The three trigonometric ratios sine, cosine and tangent are used to calculate angles and lengths in right-angled triangles. Leila Sloman, Scientific American, 10 Apr. while the corresponding formula in spherical trigonometry is: cos c cos a cos b, cos c cos a cos b, and here the sides are measured as the angles subtending the (circular) arcs on the surface. Recent Examples on the Web The cosine of this angle is the length of the horizontal side divided by the hypotenuse.
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