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Math Forum » Discussions » sci.math.* » sci.math.num-analysis.independent

Topic: asin2?
Replies: 26   Last Post: Dec 20, 2011 2:24 PM

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Virgil Hancher

Posts: 3,758
Registered: 12/6/04
Re: asin2?
Posted: Aug 15, 2000 12:33 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article <5s1m5.866$9N1.14757@vixen.cso.uiuc.edu>,
prussing@aae.uiuc.edu (John Prussing) wrote:

> So, if you think a function asin2 can be defined, let's hear from you.
> As a test case, I offer sin(theta) = 1/sqrt(2).


Assuming that true conditionals return 1 and false ones return 0,
and that r = sqrt(x^2+y^2) > 0, then

theta = (-1)^(x<0)*arcsin(y/r) + (x<0)*pi

gives a correct angle for each point (x,y), except possibly (0,0) for
which no angle is defined.

The range of theta in radians is -pi/2 <= theta < 3*pi/2, rather than
the or common 0 to 2*pi or -pi to pi. That could be fixed with a little
additional complexity.

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