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Examples oftrigonometric functions
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For the special example (3.1) where the curvature and torsion are simpletrigonometricfunctions, we can solve the leading-order equations explicitly.
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Then it becomes a trivial matter to average thetrigonometricfunctions.
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Also, thetrigonometricfunctionsare replaced by hyperbolic ones.
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This is in contrast to thetrigonometricfunctionsthat traditionally have been associated with waves.
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There are a number of standard functions available that includes the complete range of arithmetic andtrigonometricfunctions.
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In the standard, nonuniform, expansions usually only elementary functions occur, such as exponential andtrigonometricfunctions.
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This approach has been used extensively to provide a large collection of results, going all the way to the description oftrigonometricfunctions, calculus and the like.
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However, one should notice that a rotation is expressed withtrigonometricfunctionsof the angle of rotation and a trigonometric function is not a linear function.
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The ratio of the lengths of the catheti defines thetrigonometricfunctionstangent and cotangent of the angles in the triangle.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Triangles constructed on the unit circle can also be used to illustrate the periodicity of thetrigonometricfunctions.
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This example is from Wikipedia and may be reused under a CC BY-SA license.This could be achieved by expansion of functions in series oftrigonometricfunctions.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These properties apply to all the inversetrigonometricfunctions.
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This example is from Wikipedia and may be reused under a CC BY-SA license.However, the periodic nature of thetrigonometricfunctionsinvolved makes it clear that the logarithm is not so uniquely determined.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Today scientific calculators have buttons for calculating the maintrigonometricfunctions(sin, cos, tan, and sometimes cis and their inverses).
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This example is from Wikipedia and may be reused under a CC BY-SA license.Note the simple large "n" limit to suitably scaledtrigonometricfunctions.
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This example is from Wikipedia and may be reused under a CC BY-SA license.A motor-driven potentiometer may be used as a function generator, using a non-linear resistance card to supply approximations totrigonometricfunctions.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These formulas used infinite series andtrigonometricfunctionsto calculate pi to hundreds of decimal places.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.