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Find the value of sum (r=1)^(89) "log"(1...

Find the value of `sum _(r=1)^(89) "log"_(10) "cot" (pir)/(180)`

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To solve the problem, we need to evaluate the sum: \[ S = \sum_{r=1}^{89} \log_{10} \cot \left( \frac{\pi r}{180} \right) \] ### Step 1: Rewrite the sum We can express the sum in terms of degrees: ...
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