function to increase the range of inverse sine
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The asin() function only returns values between (-pi/2, pi/2). How can I write a function to give me values between (0, 2pi)?
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Respuestas (3)
Walter Roberson
el 14 de Sept. de 2011
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Jan
el 14 de Sept. de 2011
This will solve the problem by using the MATLAB 2013a or later. Not very efficient...
the cyclist
el 14 de Sept. de 2011
You can force the output to be within the range (0,2pi) by applying the mod() function:
>> mod(asin(x),2*pi)
Given only one input argument, you can't infer precisely which quadrant to return. Walter's answer points to a list of requested features (specifically, more two-argument versions of inverse trig functions).
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theodore panagos
el 26 de Oct. de 2018
Editada: Walter Roberson
el 26 de Oct. de 2018
You can have the asin(x,y) from 0 to 2*pi by the formula:
asin(x,y)=pi-pi/2*(1+sgn(x))*(1-sgn(y^2))-pi/4*(2+sgn(x))*sgn(y) -sgn(x*y)*asin((abs(x)-abs(y))/sqrt(2*x^2+2*y^2))
there is x=x2-x1 and y=y2-y1
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