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One straightforward way to take the conjugate of an expression is to replace I with -I

ComplexExpand[I Cos[z] Sin[y] + Sin[z] + A (Cos[z] - I Sin[y] Sin[z])] //. I -> (-I)

A Cos[z] + Sin[z] - I (Cos[z] Sin[y] - A Sin[y] Sin[z])

As Szabolcs points out in the comments, this solution can be problematic, so beware!

One straightforward way to take the conjugate of an expression is to replace I with -I

ComplexExpand[I Cos[z] Sin[y] + Sin[z] + A (Cos[z] - I Sin[y] Sin[z])] //. I -> (-I)

A Cos[z] + Sin[z] - I (Cos[z] Sin[y] - A Sin[y] Sin[z])

One straightforward way to take the conjugate of an expression is to replace I with -I

ComplexExpand[I Cos[z] Sin[y] + Sin[z] + A (Cos[z] - I Sin[y] Sin[z])] //. I -> (-I)

A Cos[z] + Sin[z] - I (Cos[z] Sin[y] - A Sin[y] Sin[z])

As Szabolcs points out in the comments, this solution can be problematic, so beware!

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I think Conjugate only works on numerical data. You canOne straightforward way to take the conjugate of thean expression by replacingis to replace I with -I

ComplexExpand[I Cos[z] Sin[y] + Sin[z] + A (Cos[z] - I Sin[y] Sin[z])] //. I -> (-I)

A Cos[z] + Sin[z] - I (Cos[z] Sin[y] - A Sin[y] Sin[z])

I think Conjugate only works on numerical data. You can take the conjugate of the expression by replacing I with -I

ComplexExpand[I Cos[z] Sin[y] + Sin[z] + A (Cos[z] - I Sin[y] Sin[z])] //. I -> (-I)

A Cos[z] + Sin[z] - I (Cos[z] Sin[y] - A Sin[y] Sin[z])

One straightforward way to take the conjugate of an expression is to replace I with -I

ComplexExpand[I Cos[z] Sin[y] + Sin[z] + A (Cos[z] - I Sin[y] Sin[z])] //. I -> (-I)

A Cos[z] + Sin[z] - I (Cos[z] Sin[y] - A Sin[y] Sin[z])
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I think Conjugate only works on numerical data. You can take the conjugate of the expression by replacing I with -I

ComplexExpand[I Cos[z] Sin[y] + Sin[z] + A (Cos[z] - I Sin[y] Sin[z])] //. I -> (-I)

A Cos[z] + Sin[z] - I (Cos[z] Sin[y] - A Sin[y] Sin[z])