2007-05-06 09:45:27 · 3 answers · asked by stevey222 1 in Science & Mathematics ➔ Mathematics
yeah I didn't think there was one but thought I might be missing something
2007-05-06 10:04:27 · update #1
exp(i*theta)=cos theta +i sin theta
so sin theta =0 and theta = k*pi
cos theta= 0.5 so theta = pi/3+2kpi and -pi/3+2k*pi
There are NO coincident values for theta.So the answer is never
2007-05-06 09:57:34 · answer #1 · answered by santmann2002 7 · 0⤊ 0⤋
It can't.
Assuming that this is a complex number question
Just changing theta to x to make it easier to read
exp(ix) = cos x + i sin x and you can't have cos x = 0.5 at the same time that sin x = 0. There has to be an imaginary part as well
2007-05-06 16:57:35 · answer #2 · answered by fred 5 · 0⤊ 0⤋
Natural log both sides to get i*theta=-ln2.
Divide by i to get theta=-ln2/i.
2007-05-06 16:51:52 · answer #3 · answered by Eric C 2 · 0⤊ 0⤋