Mathematics
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OpenStudy (anonymous):
tan^2 x - 3 = 0 for 0 less than or equal to x less than 2pi
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OpenStudy (anonymous):
whats ur question?
OpenStudy (anonymous):
my question is tan^2 x - 3 = 0 for 0 less than or equal to x less than 2pi
OpenStudy (anonymous):
right. write tan^2(x) interms of cos2x
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
ok im not getting this
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OpenStudy (anonymous):
first write tan^2(x) interms of cos(2x)
OpenStudy (anonymous):
ok im not getting this
OpenStudy (anonymous):
ok im not getting this
OpenStudy (anonymous):
ok im not getting this
OpenStudy (anonymous):
\[\tan^2(x) = \frac{ 1-\cos(2x) }{ 1+\cos(2x)}\]
use this formula and find the value of cos(2x)
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
umm can you explain it more?
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OpenStudy (anonymous):
\[\tan^2(x)=\frac{1−\cos(2x)}{1+\cos(2x)}\]
so
\[\frac{1−\cos(2x)}{1+\cos(2x)} = 3\]
now find cos(2x)
OpenStudy (anonymous):
im still not getting this :/
OpenStudy (anonymous):
@CliffSedge do you know how i can do this problem?
OpenStudy (anonymous):
cross multiply and simplify. find cos(2x)
you should get cos(2x) = -1/2
OpenStudy (anonymous):
ok?
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OpenStudy (anonymous):
I'll take a look at it.
OpenStudy (anonymous):
Everything chenna showed looks fine. What part are you still stuck on @onegirl ?
OpenStudy (anonymous):
nvm i think i got it
OpenStudy (anonymous):
x = 0 to 2pi right?
OpenStudy (anonymous):
thats the answer right?
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OpenStudy (anonymous):
ok?
OpenStudy (anonymous):
are you there?
OpenStudy (anonymous):
no. that is not the answer. you need to find the value of x.
did you get cos(2x) = -1/2 ?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
so x = 3pi/2, pi/6, and 5pi/6?
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OpenStudy (anonymous):
no. when does cos(t) = -1/2 ?
OpenStudy (anonymous):
when i crossed multiply
OpenStudy (anonymous):
I meant for which value of t, cos(t) = -1/2
OpenStudy (anonymous):
ohh ok
OpenStudy (anonymous):
i think i got it thanks.
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OpenStudy (anonymous):
so what is the value of x you got?
OpenStudy (anonymous):
x = pi/4 ,3pi/4, ,5pi/4, 7pi/4
OpenStudy (anonymous):
no. those values are wrong.
when does the value of cosine function equals to 1/2 ??
OpenStudy (anonymous):
ok