code: def _expected_sphere_metric_second_fundamental_form(
      base_point, radius=1.0
  ):
      theta, phi = base_point
  
      expected_11 = gs.array(
          [
              -radius * gs.sin(theta) * gs.cos(phi),
              -radius * gs.sin(theta) * gs.sin(phi),
              -radius * gs.cos(theta),
          ]
      )
      expected_22 = gs.array(
          [
              -radius
              * gs.sin(theta) ** 2
              * gs.sin(theta)
              * gs.cos(phi),
              -radius
              * gs.sin(theta) ** 2
              * gs.sin(theta)
              * gs.sin(phi),
              -radius * gs.sin(theta) ** 2 * gs.cos(theta),
          ]
      )
      return expected_11, expected_22
  
imports: import geomstats.backend
  from geomstats.test.data import TestData
  from .riemannian_metric import RiemannianMetricComparisonTestData, RiemannianMetricTestData
label_desc: Use image node_id 9 for calling a global function with example usage: _expected_sphere_metric_second_fundamental_form(base_point, radius) and returns: expected_11,  expected_22