# arctan

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## arctan

(ˈɑːkˌtæn) maths
abbreviation for
1. (Mathematics) arctangent: the function the value of which for a given argument is the angle in radians (between -π/2 and π/2) the tangent of which is that argument: the inverse of the tangent function
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 arctan - the inverse function of the tangent; the angle that has a tangent equal to a given numbercircular function, trigonometric function - function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
References in periodicals archive ?
[alpha] = [tan.sup.2] (2 arctan [square root of ([tan ([[pi]/2] [[f.sub.1]/[f.sub.0]])/tan ([[pi]/2] [[f.sub.1]/[f.sub.0]]))]) (24)
[f.sub.ap(e,o)2] = [2[f.sub.a0]/[pi]] [[pi] - arctan [square root of (-[B.sub.(e,o)] + [square root of ([B.sup.2.sub.(e,o)] - 4[A.sub.(e,o)][C.sub.(e,o)])]/2[A.sub.(e,o)])]] (4b)
arctan ([s.sup.4] [cos.sup.4] [theta]/16[r.sup.2][[bar.[lambda]].sup.2]) [approximately equal to] [pi]/2.
[[alpha].sub.3] = arctan [h/z] - arctan [h/[z + l cos [theta]]] (2)
[DELTA][[phi].sub.off] < arctan [square root of (2)] x 30[micro]T/2 x 30 mT = 0.04[degrees] (E3)
Phase distribution value obtained by (11) is limited in the range of (-[pi], +[pi]) for the theory of the arctan function, so also through phase unwrapping, the accurate phase information can be obtained [4].
[[DELTA].sub.M_VRL] = [+ or -] [[omega].sub.0]/2Q arctan 2k[V.sub.in]/3.
where the branches of the arctan function must be taken appropriately.
F(t, x) = 1 + e/4[pi] (5 + sin([k.sup.-1] [omega]t))[[[absolute value of x].sup.4] + ln(1 + [[absolute value of x].sup.4])] arctan [[absolute value of x].sup.4].
arctan x = x - [x.sup.3] / 3 + [x.sup.5] / 5 - [x.sup.7] / 7 ...
One would naturally attempt to solve this by integration by parts, differentiating the "arctan" form and integrating sin(x):
[f.sub.1](x) = x arctan x - 1/2 ln(1 + [x.sup.2]), x [member of] (0,1).

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