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OpenStudy (anonymous):
Rewrite the expression so that there is no denominator:
(tan2x)/(cscx+1)
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OpenStudy (amoodarya):
do you mean tan 2x or tan ^2 x ?
OpenStudy (anonymous):
tan 2x :)
OpenStudy (amoodarya):
\[\frac{ \tan 2x }{ \csc x+1 }=\frac{ \tan 2x }{ \frac{ 1 }{\sin x }+1 }=\]
OpenStudy (amoodarya):
\[\frac{ \tan 2x }{ \frac{ 1 }{\sin x }+1 }=\frac{ \tan 2x }{ \frac{ 1+sinx }{\sin x }}=\]
OpenStudy (amoodarya):
did you try it ?
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OpenStudy (anonymous):
yea :)
OpenStudy (amoodarya):
and what was your problem ?
OpenStudy (anonymous):
I'm not sure how to go on from there to get rid of the denominator...
OpenStudy (amoodarya):
show me your work
OpenStudy (anonymous):
I stopped there, and I don't know how to get rid of the denominator...
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OpenStudy (amoodarya):
\[\frac{ \tan 2x }{ \csc x+1 }\times \frac{ \csc x-1 }{ \csc x-1 }= \frac{ \tan 2x (\csc x-1) }{ \csc^2 x-1 }=\]
OpenStudy (amoodarya):
\[\csc ^2 x -1=\cot ^2 x\]
OpenStudy (amoodarya):
do you fin out
what would you do ?
OpenStudy (amoodarya):
\[ \frac{ \tan 2x (\csc x-1) }{ \cot^2 x }=\tan 2x (\csc x-1) \tan^2 x\]
OpenStudy (anonymous):
Thank you so much! :)
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