Step 1: Use the unit vectors along each axis instead of angles directly:
The x-axis has direction vector $\hat i = (1,0,0)$, which is already a unit vector, so its direction cosines are just its own components.
Step 2: Repeat for the y and z axes:
The y-axis direction vector is $\hat j=(0,1,0)$ and the z-axis direction vector is $\hat k=(0,0,1)$; both are already unit vectors.
Step 3: State the result:
Since each axis's own unit vector already has unit length, the direction cosines equal the vector components directly: $(1,0,0)$, $(0,1,0)$, $(0,0,1)$.
Final Answer:
The direction cosines of the x, y, z axes are $(1,0,0)$, $(0,1,0)$, $(0,0,1)$ respectively.
\[ \boxed{(1,0,0),(0,1,0),(0,0,1)} \]