Posted by v on Tuesday, December 4, 2012 at 5:51pm.
theta = arctan2 or arctan -2
because tan^2 = 4, so tan is +/- 2
that's as exact as you can get. Just as pi or sqrt(7) is a perfectly valid number, so is arctan(2)
just be sure to note that since arctan(-2) = pi-arctan(2), the complete solution set is
k*pi+/-Arctan(2)
where Arctan(2) is the principal value.
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