2011 AIME I Problems/Problem 9

Revision as of 12:43, 19 March 2011 by AlphaMath1 (talk | contribs) (Created page with '== Problem == Suppose <math>x</math> is in the interval <math>[0, \pi/2]</math> and <math>\log_(24\sin x) (24\cos x)=\frac{3}{2}</math>. Find <math>24\cot^2 x</math>')
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Problem

Suppose $x$ is in the interval $[0, \pi/2]$ and $\log_(24\sin x) (24\cos x)=\frac{3}{2}$. Find $24\cot^2 x$