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5.2 Assumptions • 163−I ((e (x I) ) 2 − 1)(e (x I) ) 2 + 1> convert( %, trig );−I ((cos(x) + sin(x) I) 2 − 1)(cos(x) + sin(x) I) 2 + 1The simplify command reveals that this expression is sin(x)/ cos(x),that is, tan(x).> simplify( % );sin(x)cos(x)You can also use the convert command to perform structural manipulationson Maple objects. See section 5.3.5.2 AssumptionsThere are two means of imposing assumptions on unknowns. To globallychange the properties of unknowns, use the assume facility. To performa single operation under assumptions on unknowns, use the assumingcommand. The assume facility and assuming command are discussed inthe following subsections.The assume FacilityThe assume facility is a set of routines for dealing with properties ofunknowns. The assume command allows improved simplification of symbolicexpressions, especially with multiple-valued functions, for example,the square root.> sqrt(a^2);√a 2

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