positional astronomy - Angular distance/apparent separation between AE Aurigae and Orion's belt

Given the cords of AE aurigae:

RA 05h 16m 18.1s DEC +34° 18' 49"

And Alnitak in Orion's belt:

RA 05h 40m 45.52666s DEC −01° 56′ 34.2649″

I get an angular separation of 34.83°

By this formula:

$cos(A) = sin(mathrm{DEC}_1)cdot sin(mathrm{DEC}_2) + cos(mathrm{DEC}_1)cdot cos(mathrm{DEC}_2)cdot cos(mathrm{RA}_1 - mathrm{RA}_2)$