The transformation (Ap, A, Az) (Ax, Ay, Az) in eq. (2.15) is not complete. Complete it by

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The transformation (Ap, AΦ, Az) → (Ax, Ay, Az) in eq. (2.15) is not complete. Complete it by expressing cos Φ and sin Φ in terms of x, y, and z. Do the same thing to the transformation (Ay, Aθ, AΦ) → (Ax, Ay, Az) in eq. (2.28).
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