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If you are on version 9 you could use the built-in functions (previously available in the VectorAnalysis package). The following might get you close to what you need :

Laplacian[f[theta], {r, theta, phi}, "Spherical"] // Simplify
(* (Cot[theta] Derivative[1][f][theta] + (f^\[Prime]\[Prime])[theta])/r^2 *)

If you are on version 9 you could use the built-in functions. The following might get you close to what you need :

Laplacian[f[theta], {r, theta, phi}, "Spherical"] // Simplify
(* (Cot[theta] Derivative[1][f][theta] + (f^\[Prime]\[Prime])[theta])/r^2 *)

If you are on version 9 you could use the built-in functions (previously available in the VectorAnalysis package). The following might get you close to what you need :

Laplacian[f[theta], {r, theta, phi}, "Spherical"] // Simplify
(* (Cot[theta] Derivative[1][f][theta] + (f^\[Prime]\[Prime])[theta])/r^2 *)
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If you are on version 9 you could use the built-in functions. The following might get you close to what you need :

Laplacian[f[theta], {r, theta, phi}, "Spherical"] // Simplify
(* (Cot[theta] Derivative[1][f][theta] + (f^\[Prime]\[Prime])[theta])/r^2 *)