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Mathematics 20 Online
OpenStudy (dtan5457):

Trig general solution question

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?

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

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??

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.?

OpenStudy (loser66):

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