There is never any doubt that arcsin is meant since \ frac { 1 } { \ sin A } can always be written as csc ( A ) ( cosecant function ) and similarly, the reciprocal of any other trig function has a specifically named function also . Preceding contribs ) 13 : 26, 27 January 2008 ( UTC)
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While processing my data, I found that the instantaneous curvature of the 2D plane-constrained trajectory of a fruit fly is positively correlated with the inverse hyperbolic cosecant of its instantaneous speed ( r = ~ 0.7 ) Such a relationship is the best fit I've found ( among logarithmic, inverse square, etc . ) and gives a very convincing straight line correlation in the scatterplot.
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