Trigonometry¶
Elementary Trigonometric Functions¶
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sin(x)¶ Computes the sine value of \(x\).
>>> sin(3) = 0.1411200080598672
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cos(x)¶ Computes the cosine value of \(x\).
>>> cos(3) = -0.9899924966004454
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tan(x)¶ Computes the tangent value of \(x\).
>>> tan(3) = -0.1425465430742778
Inverse Trigonometric Functions¶
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arcsin(x)¶ Computes the inverse sine value of \(x\). Aliases:
asin,arsin.>>> arcsin(0.5) = 0.5235987755982989
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arccos(x)¶ Computes the inverse cosine value of \(x\). Aliases:
acos,arcos.>>> arccos(0.5) = 1.047197551196598
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arctan(x)¶ Computes the inverse tangent value of \(x\). Aliases:
atan,artan.>>> arctan(3) = 1.249045772398254
Hyperbolic Trigonometric Functions¶
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sinh(x)¶ Computes the hyperbolic sine value of \(x\).
>>> sinh(3) = 10.0178749274099
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cosh(x)¶ Computes the hyperbolic cosine value of \(x\).
>>> cosh(3) = 10.06766199577777
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tanh(x)¶ Computes the hyperbolic tangent value of \(x\).
>>> tanh(3) = 0.9950547536867305
Inverse Hyperbolic Trigonometric Functions¶
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asinh(x)¶ Computes the inverse of the hyperbolic sine value of \(x\). Aliases:
arcsinh,arsinh.>>> asinh(3) = 1.818446459232067
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acosh(x)¶ Computes the inverse of the hyperbolic cosine value of \(x\). Aliases:
arccosh,arcosh.>>> acosh(3) = 1.762747174039086
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atanh(x)¶ Computes the inverse of the hyperbolic tangent value of \(x\). Aliases:
arctanh,artanh.>>> atanh(0.5) = 0.5493061443340548
Reciprocal Trigonometric Functions¶
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csc(x)¶ Computes the cosecant value of \(x\).
>>> csc(3) = 7.086167395737187
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sec(x)¶ Computes the secant value of \(x\).
>>> sec(3) = -1.010108665907994
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cot(x)¶ Computes the cotangent value of \(x\).
>>> cot(3) = -7.015252551434534
Inverse Reciprocal Trigonometric Functions¶
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arccsc(x)¶ Computes the inverse cosecant value of \(x\). Aliases:
acsc,arcsc.>>> arccsc(1) = 1.570796326794897
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arcsec(x)¶ Computes the inverse secant value of \(x\). Aliases:
asec,arsec.>>> arcsec(1) = 0
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arccot(x)¶ Computes the inverse cotangent value of \(x\). Aliases:
acot,arcot.>>> arccot(3) = 0.3217505543966421
Hyperbolic Reciprocal Trigonometric Functions¶
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csch(x)¶ Computes the hyperbolic cosecant value of \(x\).
>>> csch(3) = 0.09982156966882273
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sech(x)¶ Computes the hyperbolic secant value of \(x\).
>>> sech(3) = 0.09932792741943321
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coth(x)¶ Computes the hyperbolic cotangent value of \(x\).
>>> coth(3) = 1.004969823313689
Inverse Hyperbolic Reciprocal Trigonometric Functions¶
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arccsch(x)¶ Computes the inverse hyperbolic cosecant value of \(x\). Aliases:
acsch,arcsch.>>> arccsch(1) = 0.8813735870195429
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arcsech(x)¶ Computes the inverse hyperbolic secant value of \(x\). Aliases:
asec,arsec.>>> arcsech(1) = 0
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arccoth(x)¶ Computes the inverse hyperbolic cotangent value of \(x\). Aliases:
acot,arcot.>>> arccoth(3) = 0.3465735902799726