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单词 trigonometric functions
释义
trigonometric functions

Physics
  • Functions defined in terms of a right-angled triangle (see diagram) and widely used in the solution of many mathematical problems. They are defined as:

    tangent of angleA,written tanA=a/bsine of angleA,written sinA=a/ccosine of angleA,written cosA=b/c

    where a is the length of the side opposite the angle A, b is the length of the side opposite the angle B, and c is the hypotenuse of the triangle. The reciprocal functions are:

    cotangent of angleA,written cotA= 1/tanA=b/asecant of angleA,written secA= 1/cosA=c/bcosecant of angleA,written cosecA= 1/sinA=c/a

    trigonometric functions

    Trigonometric functions.


Chemical Engineering
  • The representation of relationships between the sides and angles of a right-angled triangle, such that for an angle θ:

    • sine θ = opposite side/hypotenuse

    • cosine θ = adjacent side/hypotenuse

    • tangent θ = opposite side/adjacent side

    • secant θ = hypotenuse/adjacent side

    • cosecant θ = hypotenuse/opposite side


Electronics and Electrical Engineering
  • Mathematical functions that relate an angle to the lengths of the sides of right-angled triangles in which it occurs. The two most common are the sine function, sin (θ), and cosine function, cos (θ), as shown in the diagram. The other four can be obtained as reciprocals or ratios of these two. Trigonometric functions have a wide range of uses in electronics, notably for dealing with AC waveforms and signal frequency analysis. See also inverse trigonometric functions.

    trigonometric functions

    Trigonometric functions


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