Mathematics
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OpenStudy (dtan5457):
Trig general solution question
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OpenStudy (dtan5457):
cosx+cos(-x)=1
OpenStudy (dtan5457):
This is cos=1/2 which is 60 degrees..but
OpenStudy (dtan5457):
One of the solutions obviously would be pi/3+2npi
OpenStudy (dtan5457):
But the 2nd one.. would it be 300 degrees or 120?
OpenStudy (anonymous):
what do you mean by "general" all values?
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OpenStudy (dtan5457):
the general solution. it always has two solutions unless it's a quadrantal angle.
OpenStudy (dtan5457):
that's why it's pi/3+2npi
n=any integer
OpenStudy (anonymous):
two is not general, two is specific
OpenStudy (anonymous):
are you working in degrees or radians?
OpenStudy (dtan5457):
radians
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OpenStudy (anonymous):
ok then you have one answer above
but there is another place on the unit circle where the first coordinate is \(\frac{1}{2}\)
it is in quadrant 4
OpenStudy (dtan5457):
5pi/3+2npi
OpenStudy (anonymous):
yup
OpenStudy (dtan5457):
but quick question. if this was cos +/- 1/2
OpenStudy (dtan5457):
which quadrants do I use??
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OpenStudy (dtan5457):
@satellite73
OpenStudy (dtan5457):
or would it not matter?
OpenStudy (dtan5457):
@Loser66 Able to solve my question? Just a quadrant question
OpenStudy (loser66):
1,4
OpenStudy (dtan5457):
If it was cos + or - at 1/2, would it matter what quadrants i choose.?
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OpenStudy (loser66):
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