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OpenStudy (zzr0ck3r):
?
OpenStudy (anonymous):
how to solve it?
OpenStudy (zzr0ck3r):
u cant solve without = something
OpenStudy (zzr0ck3r):
this is sort of like saying solve 1/x
OpenStudy (anonymous):
i am suppose to complete that trig identity.
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OpenStudy (zzr0ck3r):
1/sin(x) = csc(x)
OpenStudy (zzr0ck3r):
this is just notation though.... they are the exact same thing.
OpenStudy (anonymous):
ok and hw to complete this one- tan^2 x-1?
OpenStudy (zzr0ck3r):
devide every term of cos^2(x) + sin^2(x) = 1 with cos^2(x) and you get
1+ tan^2(x) = sec^2(x) so
-tan^2(x) -1 = -sec^2(x)
OpenStudy (anonymous):
there's no negative sign before tan (it was just a dash)
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OpenStudy (zzr0ck3r):
hmm.
OpenStudy (zzr0ck3r):
you sure its not +1?
OpenStudy (anonymous):
no i mean the question is tan^2 x-1
OpenStudy (anonymous):
use brackets to be clear. is it tan^2(x-1) ?
OpenStudy (zzr0ck3r):
do you know this identity
cos(2x) = cos^2(x) - sin^2(x)
thus
sin^2(x) -cos^2(x) = -cos(2x)
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OpenStudy (zzr0ck3r):
are you saying
tan^2(x) -1
or
tan^2(x-1)?
OpenStudy (anonymous):
tan^2(x)-1
OpenStudy (zzr0ck3r):
sin^2(x) + cos^2(x) = 1 devide all terms by cos^2(x)
tan^2(x) + 1 = sec^2(x) so
tan^2(x) = sec^2(x) - 1 thus
tan^2(x) - 1 = (sec^2(x) -1)-1 = sec^2(x) - 2
I think this is the best its going to get.