Inverse Functions

What does the cos(cos^-1(.913545458)) = ?   It equals  .913545458   Why?
Because cos^-1(.913545458) = 24⁰  
cos 24⁰  = .913545458

Lets diagram this:
cos(cos^-1(.913545458))   →   cos (24⁰)    →  .913545458   Therefore cos(cos^-1(.913545458)) = .913545458

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