Mathematics
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OpenStudy (dtan5457):
How many general solutions does 4cos^2x-3=0 have?
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OpenStudy (dtan5457):
4, right? once you take the square root of cos, you get +/- sqrt3/2
OpenStudy (dtan5457):
@Nnesha
OpenStudy (dtan5457):
@alyssa_xo
jimthompson5910 (jim_thompson5910):
I think you meant to ask: "how many particular solutions does the equation have"
right?
OpenStudy (dtan5457):
well by general you always have +2npi or +npi
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OpenStudy (dtan5457):
rather then the exact solution
jimthompson5910 (jim_thompson5910):
what general solutions do you get
OpenStudy (dtan5457):
pi/6+2npi
5pi/6+2npi
7pi/6+2npi
11pi/6+2npi
OpenStudy (dtan5457):
same goes with 3tan^2x-9=0, another 4 solutions?
OpenStudy (dtan5457):
i don't know which ones to choose if cos is both positive and negative
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jimthompson5910 (jim_thompson5910):
nvm, I misread
anyways, it looks like you got all 4 solutions since I'm getting the same thing
OpenStudy (dtan5457):
same goes with 3tan^2x-9=0? 4 solutions?
jimthompson5910 (jim_thompson5910):
which 4?
OpenStudy (dtan5457):
well i didn't solve it yet, i know how to, i just want to make sure there is suppose to be 4
jimthompson5910 (jim_thompson5910):
yeah it looks like there are 4 based on the graph I'm getting
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OpenStudy (dtan5457):
thank you..
jimthompson5910 (jim_thompson5910):
np