Trigonometry
9 Online
OpenStudy (anonymous):
(sec^2x-1)/sec^2X
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OpenStudy (anonymous):
IT SAYS SIMPLIFY
OpenStudy (anonymous):
ok, do what?
OpenStudy (anonymous):
here is what I have I replaced sec^2x= 1-cosx
OpenStudy (anonymous):
\[\frac{ \sec^2 x -1 }{ \sec^2x }= 1- \frac{ 1 }{ \sec^2x }= 1- \cos^2x= \sin^2 x\]
OpenStudy (anonymous):
just one line
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OpenStudy (anonymous):
is that it?
OpenStudy (anonymous):
yeap! break the numerator into 2 parts. and manipulate until you cannot. then combine them together again
OpenStudy (anonymous):
let me redo it
OpenStudy (anonymous):
ok take your time
OpenStudy (anonymous):
how did you come from 1-1/sin^2x in the denominator
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OpenStudy (anonymous):
that 1-cos^2x? isn't that supposed to be in the denominator?
OpenStudy (anonymous):
\[\frac{ a+b }{ c }= \frac{ a }{ c }+\frac{ b }{ c }\]
OpenStudy (anonymous):
you have a disease of turning everything to sin and cos, I don't, I manipulate right on sec^2
OpenStudy (anonymous):
I know but I replaced sec^2x by 1-cos^2x
OpenStudy (anonymous):
I know , Sydney gave you that method, but it's no need to do all the time
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OpenStudy (anonymous):
is 1/sec^2 = cos^2?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
can you show me how?
OpenStudy (anonymous):
sec = 1/cos ---> cos = 1/sec
cos^2 = 1/sec^2
OpenStudy (anonymous):
Ok thanks. are you going to be online for awhile? I will try the others now
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OpenStudy (anonymous):
sure, post other