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Hannah_Ahn
 4 years ago
Prove the identity
\[\left( \cot \theta \over \sin \theta  \csc \theta \right) = \sec \theta\]
Hannah_Ahn
 4 years ago
Prove the identity \[\left( \cot \theta \over \sin \theta  \csc \theta \right) = \sec \theta\]

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satellite73
 4 years ago
Best ResponseYou've already chosen the best response.1first we do the algebra \[\frac{\frac{a}{b}}{b\frac{1}{b}}=\frac{a}{b^21}\]

satellite73
 4 years ago
Best ResponseYou've already chosen the best response.1no replace a by cosine, b by sine and get \[\frac{\cos(x)}{\sin^2(x)1}=\frac{\cos(x)}{1\sin^2(x)}=\frac{\cos(x)}{\cos^2(x)}=\sec(x)\]

Hannah_Ahn
 4 years ago
Best ResponseYou've already chosen the best response.0\[a \over b^2  1\] ?????

Hannah_Ahn
 4 years ago
Best ResponseYou've already chosen the best response.0oooh gotcha. i thought that was the right side,

satellite73
 4 years ago
Best ResponseYou've already chosen the best response.1yes \[\frac{\frac{a}{b}}{b\frac{1}{b}}=\frac{a}{b^21}\] multiply top and bottom by \[b\]and get it in one step
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