Hello Brandon,
you could do it this way:
In[1]:= blah[polar_] := polar[[1]] {Cos[polar[[2]]], Sin[polar[[2]]]}
blah[polar_] := Map[blah[#] &, polar] /; MatrixQ[polar]
In[3]:= lst = RandomReal[5, {10, 2}];
In[4]:= blah[lst]
Out[4]= {{-1.33346, -1.73984}, {-4.74456, -1.01628}, {1.07804,
0.471759}, {2.08963, 3.48567}, {2.89406, 2.14102}, {3.02783,
0.775746}, {0.019113, 0.0156172}, {0.0448616, -0.754736}, {2.85285,
1.6724}, {1.62422, 1.72386}}
In[5]:= blah[{1., 0.5}]
Out[5]= {0.877583, 0.479426}
Regards,
Michael
