: Mathematics: cosine

mathematical analysis > function > elementary function > trigonometric function > cosine

mathematical analysis > complex analysis > analytic function > trigonometric function > cosine

... > real analysis > real-valued function > analytic function > trigonometric function > cosine

... > functional analysis > transformation > harmonic analysis > trigonometric function > cosine

geometry > Euclidean geometry > trigonometry > cosine

cosine

In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse. For an angle ${\\displaystyle \ heta }$ , the sine and cosine functions are denoted simply as ${\\displaystyle \\sin \ heta }$ and ${\\displaystyle \\cos \ heta }$ .
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Sine_and_cosine)

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