Let , , and be the angles of a triangle.(a) Use Lagrange multipliers to find the maximum

Chapter 13, Problem 33

(choose chapter or problem)

Let , , and be the angles of a triangle.(a) Use Lagrange multipliers to find the maximum value off(, , ) = cos cos cos , and determine the anglesfor which the maximum occurs.(b) Express f(, , ) as a function of and alone, anduse a CAS to graph this function of two variables. Confirmthat the result obtained in part (a) is consistent withthe graph.

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