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Mathematics 18 Online
OpenStudy (anonymous):

csc^2-4=0

OpenStudy (gorv):

csc^2=4

OpenStudy (gorv):

solve it now take sqrt both side

OpenStudy (solomonzelman):

yes, and then take the inverse cosine of what you get.

OpenStudy (anonymous):

\[\csc^2x-4=0\]

OpenStudy (solomonzelman):

\[add~~4~~t o~~both~~sides,~~~~~~\csc^2x=4\]\[take~~a~~squ are~~r oot~~o f~~both~~sides,~~~~~~~cscx=2\]\[\csc ^{-1}(2),~~~~~~(or~~\sin ^{-1}(1/2))~~~~is?\]

OpenStudy (anonymous):

30?

OpenStudy (anonymous):

careful here

OpenStudy (anonymous):

\[\csc^2(x)=4\\ \csc(x)=2,\csc(x)=-2\\ \sin(x)=\frac{1}{2},\sin(x)=-\frac{1}{2}\]

OpenStudy (solomonzelman):

oh, yeah, forgot about the plus minus, ty, satelline...

OpenStudy (solomonzelman):

it would be\[either~~~Sin ^{-1}(1/2)~~~or~~~~~~Sin ^{-1}(-1/2)\]

OpenStudy (anonymous):

\[\cos^2x+2\cos x=3\]

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