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Let g (x) = 5 + x − 8 (cot( πx /8)), defined on [2,4] (a)...

Let g (x) = 5 + x − 8 (cot( πx /8)), defined on [2,4]
(a) Use the Intermediate Value Theorem (TVI) to prove that the equation g (x) = 0 has a solution. (b) Use the Average Value Theorem (TVM) to show that the solution in part (a) is the only one that exists.
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