diff --git a/pandas/core/arrays/datetimelike.py b/pandas/core/arrays/datetimelike.py
index a25a698856747..0f8274cfa4cd5 100644
--- a/pandas/core/arrays/datetimelike.py
+++ b/pandas/core/arrays/datetimelike.py
@@ -1742,6 +1742,12 @@ def strftime(self, date_format: str) -> npt.NDArray[np.object_]:
         ----------
         date_format : str
             Date format string (e.g. "%%Y-%%m-%%d").
+        *args
+            Additional arguments and keywords have no effect but might be
+             accepted for compatibility with NumPy.
+        **kwargs
+            Additional arguments and keywords have no effect but might be
+             accepted for compatibility with NumPy.
 
         Returns
         -------
@@ -2066,6 +2072,24 @@ def _creso(self) -> int:
 
     @cache_readonly
     def unit(self) -> str:
+        """
+        The precision of the datetime data.
+
+        Returns the most precise unit used for the datetime data.
+
+        See Also
+        --------
+        TimelikeOps.as_unit : Converts to a specific unit.
+
+        Examples
+        --------
+        >>> idx = pd.DatetimeIndex(["2020-01-02 01:02:03.004005006"])
+        >>> idx.unit
+        'ns'
+        >>> idx = pd.DatetimeIndex(["2020-01-02 01:02:03"])
+        >>> idx.unit
+        's'
+        """
         # e.g. "ns", "us", "ms"
         # error: Argument 1 to "dtype_to_unit" has incompatible type
         # "ExtensionDtype"; expected "Union[DatetimeTZDtype, dtype[Any]]"
diff --git a/pandas/core/arrays/datetimes.py b/pandas/core/arrays/datetimes.py
index 43cc492f82885..42fb39d69eabe 100644
--- a/pandas/core/arrays/datetimes.py
+++ b/pandas/core/arrays/datetimes.py
@@ -858,12 +858,23 @@ def tz_convert(self, tz) -> Self:
         """
         Convert tz-aware Datetime Array/Index from one time zone to another.
 
+        This method is used to convert a timezone-aware Datetime Array or Index to
+        a different time zone. The original UTC time remains the same; only the
+        time zone information is changed. If the Timestamp is timezone-naive, a
+        TypeError is raised.
+
         Parameters
         ----------
         tz : str, zoneinfo.ZoneInfo, pytz.timezone, dateutil.tz.tzfile, datetime.tzinfo or None
             Time zone for time. Corresponding timestamps would be converted
             to this time zone of the Datetime Array/Index. A `tz` of None will
             convert to UTC and remove the timezone information.
+        *args
+            Additional arguments and keywords have no effect but might be
+            accepted for compatibility with NumPy.
+        **kwargs
+            Additional arguments and keywords have no effect but might be
+            accepted for compatibility with NumPy.
 
         Returns
         -------
@@ -985,6 +996,12 @@ def tz_localize(
             - timedelta objects will shift nonexistent times by the timedelta
             - 'raise' will raise a ValueError if there are
               nonexistent times.
+        *args
+            Additional arguments and keywords have no effect but might be
+             accepted for compatibility with NumPy.
+        **kwargs
+            Additional arguments and keywords have no effect but might be
+             accepted for compatibility with NumPy.
 
         Returns
         -------
@@ -1204,6 +1221,12 @@ def to_period(self, freq=None) -> PeriodArray:
         freq : str or Period, optional
             One of pandas' :ref:`period aliases <timeseries.period_aliases>`
             or an Period object. Will be inferred by default.
+        *args
+            Additional arguments and keywords have no effect but might be
+             accepted for compatibility with NumPy.
+        **kwargs
+            Additional arguments and keywords have no effect but might be
+             accepted for compatibility with NumPy.
 
         Returns
         -------
diff --git a/pandas/core/arrays/timedeltas.py b/pandas/core/arrays/timedeltas.py
index a8a0037d0bbb9..59716404cc2d7 100644
--- a/pandas/core/arrays/timedeltas.py
+++ b/pandas/core/arrays/timedeltas.py
@@ -733,6 +733,15 @@ def total_seconds(self) -> npt.NDArray[np.float64]:
         This method is available directly on TimedeltaArray, TimedeltaIndex
         and on Series containing timedelta values under the ``.dt`` namespace.
 
+        Parameters
+        ----------
+        *args
+            Additional arguments and keywords have no effect but might be
+            accepted for compatibility with NumPy.
+        **kwargs
+            Additional arguments and keywords have no effect but might be
+            accepted for compatibility with NumPy.
+
         Returns
         -------
         ndarray, Index or Series