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Problem of the Day #94: Fractional Trigonometry June 21, 2011

Posted by Saketh in : potd , trackback

Given that $x = \pi^{\pi^{\pi}}$, evaluate $$ \frac{1}{\frac{1}{4}(\sin^4{x}+\cos^4{x})-\frac{1}{6}(\sin^6{x}+\cos^6{x})} $$

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