Implement xtick and ytick rotation modes - #28968

 def set_rotation(self, s):
        """
        Set the rotation of the text.

        Parameters
        ----------
        s : float or {'vertical', 'horizontal'}
            The rotation angle in degrees in mathematically positive direction
            (counterclockwise). 'horizontal' equals 0, 'vertical' equals 90.
        """
        if isinstance(s, Real):
            self._rotation = float(s) % 360
        elif cbook._str_equal(s, 'horizontal') or s is None:
            self._rotation = 0.
        elif cbook._str_equal(s, 'vertical'):
            self._rotation = 90.
        else:
            raise ValueError("rotation must be 'vertical', 'horizontal' or "
                             f"a number, not {s}")
        self.stale = True

def _ha_for_angle(self, angle, is_tick_top_enabled):
        """
        Determines horizontal alignment ('ha') based on the angle of rotation
        in degrees. Adjusts for is_tick_top_enabled.
        """
        print('angle:', angle)
        if (angle < 5 or 85 <= angle < 105 or 355 <= angle < 360 or
                170 <= angle < 190 or 265 <= angle < 275):
            return 'center'
        elif 5 <= angle < 85 or 190 <= angle < 265:
            return 'left' if is_tick_top_enabled else 'right'
        return 'right' if is_tick_top_enabled else 'left'

    def _va_for_angle(self, angle, is_tick_right_enabled):
        """
        Determines vertical alignment ('va') based on the angle of rotation
        in degrees. Adjusts for is_tick_right_enabled.
        """
        print('angle:', angle)
        if (angle < 5 or 355 <= angle < 360 or 170 <= angle < 190
                or 85 <= angle < 105 or 265 <= angle < 275):
            return 'center'
        elif 190 <= angle < 265 or 5 <= angle < 85:
            return 'baseline' if is_tick_right_enabled else 'top'
        return 'top' if is_tick_right_enabled else 'baseline'

import matplotlib.pyplot as plt
import numpy as np

angles, n_cols = np.linspace(-45, 405, 2), 2
fig, axs = plt.subplots(nrows=1, ncols=n_cols, figsize=(4, 2.5))
axs = axs.flatten()

for i, angle in enumerate(angles):
    ax = axs[i]
    ax.set_title(f'Rotation: {angle:.0f}°', fontsize=10)

    ax.set_xticks([0.5])
    ax.set_xticklabels(['L'])
    ax.xaxis.set_tick_params(rotation=angle, rotation_mode='xtick')

    ax.set_yticks([0.5])
    ax.set_yticklabels(['L'])
    ax.yaxis.set_tick_params(rotation=angle, rotation_mode='ytick')

plt.savefig('rotated_ticks_figure.png')
plt.show()

 ax.tick_params(axis='x', rotation=55, rotation_mode='xtick')

class Tick(martist.Artist):
                   ⋮
      def __init__(.**kwargs):
                   ⋮
            grid_kw = {k[5:]: v for k, v in kwargs.items()}

grid_kw = {k[5:]: v for k, v in kwargs.items() if k != "rotation_mode"}

ax.tick_params(axis='x', rotation=55, rotation_mode='xtick')

ax.set_xticks(ax.get_xticks())
ax.tick_params(axis='x', rotation=55, rotation_mode='xtick')