Cardan (or Tait-Bryan) angles z-x-y and rotation matrix - Proof

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I'm trying to get the following rotation matrix (cardan angle sequence z-x-y):

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To do that, I multiplied the three elementary rotation matrices $R_zR_xR_y$, but the result is different:

enter image description here

Can you tell me how can I reach my goal please?

Thank you so much.