Step 1: Understanding the Concept
The geometry of a complex depends on its coordination number and hybridisation.
Step 2: Find the coordination number
In \([\text{CoF}_6]^{3-}\) six fluoride ligands are attached to \(\text{Co}^{3+}\), so the coordination number is 6.
Step 3: Hybridisation and shape
Fluoride is a weak field ligand, so the complex uses \(sp^3d^2\) hybridisation (outer orbital complex). Six bond pairs around the metal give an octahedral shape.
Final Answer:
The complex ion has octahedral geometry.
\[ \boxed{\text{(C) }\text{Octahedral}} \]