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If cos^(-1)(x)+cos^(-1)(y)+cos^(-1)(z)=p...

If `cos^(-1)(x)+cos^(-1)(y)+cos^(-1)(z)=pi(sec^2(u)+sec^4(v)+sec^6(w)),w h e r e u , v , w` are least non-negative angles such that `u

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To solve the problem, we will follow a systematic approach to find the value of \( x^{2000} + y^{2000} + z^{2004} + \frac{36\pi}{u+v+w} \). ### Step 1: Analyze the given equation We have: \[ \cos^{-1}(x) + \cos^{-1}(y) + \cos^{-1}(z) = \pi \left( \sec^2(u) + \sec^4(v) + \sec^6(w) \right) \] where \( u, v, w \) are the least non-negative angles such that \( u < v < w \). ...
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