English word senses marked with topical category "Trigonometric functions"

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Parent categories: Circle, Functions, Trigonometry, Curves, Algebra, Calculus, Geometry, Mathematical analysis, Mathematics, Shapes, Formal sciences, Sciences

Total 64 word senses

• Fourier cosine series (Noun) a Fourier series consisting solely of cosine functions
• Fourier series (Noun) Any series resulting from the decomposition of a periodic function into terms involving cosines and sines (or, equivalently, complex exponentials).
• Fourier sine series (Noun) a Fourier series consisting solely of sine functions
• Pythagorean trigonometric identity (Noun) The equality sin (x)²+ cos (x)²=1, holding for all real and complex x, equivalent to the application of the Pythagorean theorem to the unit circle.
• SOHCAHTOA (Phrase) sine: opposite over hypotenuse, cosine: adjacent over hypotenuse, tangent: opposite over adjacent
• antisine (Noun) Synonym of arcsine
• ar- (Prefix) Used to form the names of inverse hyperbolic functions, and the symbols for these functions.
• arc- (Prefix) Used to form the names of inverse trigonometric functions, and the symbols for these functions.
• arccos (Noun) Abbreviation of arccosine.
• arccosecant (Noun) function that is the compositional inverse of the cosecant function. Symbol: arccsc
• arccosine (Noun) Any of several single-valued or multivalued functions that are inverses of the cosine function.
• arccotangent (Noun) An inverse of the cotangent function. Symbol: arccot
• arcsecant (Noun) function that is the compositional inverse of the secant function. Symbol: arcsec
• arcsin (Noun) Abbreviation of arcsine.
• arcsine (Noun) Any of several single-valued or multivalued functions that are inverses of the sine function. Symbol: arcsin, sin⁻¹
• arctan (Noun) Abbreviation of arctangent.
• arctangent (Noun) Any of several single-valued or multivalued functions that are inverses of the tangent function. Symbol: arctan, tan⁻¹
• arctangential (Adjective) Relating to the arctangent.
• cofunction (Noun) The trigonometric function of the complement of the supplied angle.
• cofunction (Noun) A costatement that takes the form of a function and can accept parameters and return a value.
• cohaversine (Noun) the hacoversed sine
• cosecant (Noun) In a right triangle, the reciprocal of the sine of an angle. Symbols: cosec, csc
• cosine (Noun) In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse. Symbol: cos
• cosine formula (Noun) law of cosines
• cosine law (Noun) law of cosines
• cosine rule (Noun) law of cosines
• cosinus (Noun) Synonym of cosine.
• cotangent (Noun) In a right triangle, the reciprocal of the tangent of an angle. Symbols: cot, ctg, or ctn
• coversed sine (Noun) The trigonometric function 1 − sin(x).
• coversine (Noun) The coversed sine.
• excosecant (Noun) The trigonometric function csc(x) − 1. Abbreviation: excsc
• exsecant (Noun) The trigonometric function sec(x) − 1. Abbreviation: exsec
• hacoversed sine (Noun) The trigonometric function equal to half the coversed sine. Abbreviation: hacoversin
• hacoversine (Noun) the hacoversed sine
• havercosine (Noun) the trigonometric function (1 + cos(x)) / 2, equal to half the vercosine
• haversed sine (Noun) The trigonometric function defined as half the versed sine. Abbreviation: haversin
• haversine (Noun) The haversed sine.
• inverse cosine (Noun) arccosine
• inverse sine (Noun) Synonym of arcsine
• inverse tangent (Noun) Synonym of arctangent
• inverse trigonometric function (Noun) A function that is the inverse of an appropriate restriction of a trigonometric function.
• law of cosines (Noun) A generalization of the Pythagorean theorem that relates the lengths of the sides of a triangle to the cosine of one of its angles.
• law of sines (Noun) A statement that relates the lengths of the sides of a triangle to the sines of its angles.
• law of tangents (Noun) A statement about the relationship between the tangents of two angles of a triangle and the lengths of the opposing sides.
• secant (Noun) In a right triangle, the reciprocal of the cosine of an angle. Symbol: sec
• simple harmonic motion (Noun) oscillating motion (as of a pendulum) in which the acceleration of the oscillator has an equal magnitude but opposite direction to the displacement of it from the equilibrium position.
• sine (Noun) In a right triangle, the ratio of the length of the side opposite an angle to the length of the hypotenuse.
• sine formula (Noun) law of sines
• sine law (Noun) law of sines
• sine ratio (Noun) The ratio of the side of a right-angled triangle opposite to a specified angle to the hypotenuse; when expressed as a real number between 0 and 1, it defines the sine of the angle.
• sine rule (Noun) law of sines
• sine wave (Noun) A periodically oscillating waveform as described by the sine function, possibly multiplied by some amplitude, shifted by some phase, and translated by an additive constant.
• sinus (Noun) A pouch or cavity in a bone or other tissue, especially one in the bones of the face or skull connecting with the nasal cavities (the paranasal sinus).
• sinusoid (Noun) A curve having the shape of a sine wave.
• sinusoid (Adjective) Sinusoidal.
• sinusoid (Adjective) Characteristic of a sinus.
• square wave (Noun) A function or waveform that alternates regularly and instantaneously between two levels.
• tangent (Adjective) Straight; not horizontally curved.
• trigonometric cofunction (Noun) Either of a pair of trigonometric functions that have equal values when their arguments are complementary angles, e.g. sine and cosine.
• trigonometric function (Noun) Any function of an angle expressible as the ratio of two of the sides of a right triangle that has that angle (e.g., sine), or that subtracts 1 from such a ratio or subtracts such a ratio from 1 (e.g., coversed sine).
• versed cosine (Noun) The trigonometric function 1 + cos(x).
• versed sine (Noun) The trigonometric function 1 − cos(x).
• versine (Noun) The versed sine.
• waveform (Noun) The shape of a wave function represented by a graph showing some dependent variable as function of an independent variable.

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