arc sine

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arc sine

[¦ärk ¦sīn]
(mathematics)
Also known as antisine; inverse sine.
For a number x, any angle whose sine equals x.
For a number x, the angle between -π/2 radians and π/2 radians whose sine equals x ; it is the value at x of the inverse of the restriction of the sine function to the interval between -π/2 and π/2.
References in periodicals archive ?
3]([1/tan[beta]] + 2 arcsin (1/[rho]))]]; [[d[rho]]/[d([theta]/[[alpha].
Coefficient [gamma] is calculated using different functions (polynomials, power functions, sinus, cosine, tangent, cotangent, logarithm, exponent, arcsin, arccos, arctan or arcctg, also inverse functions) and choice of function is connected with initial requirements and curve specifications.
Fruit Set refers to Arcsin ([square root of] (proportion of flowers that became fruit)).
A control model used temperature, SL, arcsin [square root of x]-transformed fraction of cells in the S phase, and arcsin [square root of x]-transformed fraction of cells in the G2/M phases; and a test model added arcsin [square root of x]-transformed RSG1 to the covariates used in the control model (n=158).
We did this by constructing t-tests on the arcsin ([square root of proportion]) transformed data, which compared the mean transformed value to arcsin ([square root of 0.
The significance of treatment and sampling-time differences in the December 2000 samples (Table 1) was assessed by Repeated Measures analysis; the min-N data were first log-transformed and the nitrate-N percentages analysed as arcsin square root values.
For statistical analyses, these values were subjected to arcsin square root transformation.
Significant incidents of embryotoxicity were established following transformation of the percentages to their arcsin values, by Student's t-test when comparing a single treatment to the control or by analysis of variance and Dunnett's t-test when comparing multiple treatments to the control (12).