My own test

In[]:=
r=3;​​point1={5,0,0};​​point2={3,0,0};​​Graphics3D[​​{​​{SpotLight[Yellow,{point1,point2},Pi/12],White,Cylinder[{{1,0,0},{1.1,0,0}},r]},​​{PointSize[Large],Blue,Point[point1]},​​{PointSize[Large],Red,Point[point2]}​​},​​Axes->True,​​LightingNone,​​AxesLabel->{"x","y","z"}​​]
Out[]=

Test in the documentation

Example 1

From documentation

In[]:=
Table[Graphics3D[{SpotLight[Orange,{{0,0,1.5},{0,0,0}},a],Specularity[White,50],Sphere[]},LightingNone],{a,{Pi/12,Pi/8,Pi/6,Pi/4}}]
Out[]=

,
,
,


New OutPut

In[]:=
Table[Graphics3D[{SpotLight[Orange,{{0,0,1.5},{0,0,0}},a],Specularity[White,50],Sphere[]},LightingNone],{a,{Pi/12,Pi/8,Pi/6,Pi/4}}]
Out[]=

,
,
,


Example 2

From documentation

In[]:=
Table[Graphics3D[{SpotLight[c,{{0,0,1.5},{0,0,0}},Pi/6],White,Sphere[]},LightingNone],{c,{Red,Yellow,Blue}}]
Out[]=

,
,


New OutPut