Van Gogh is to painter as Beethoven is to what?

The relationship in the question identifies a renowned figure associated with a specific profession: Van Gogh is widely recognized as a painter. Similarly, Beethoven is an iconic figure known primarily for his contributions to music. The correct answer draws a direct comparison, highlighting Beethoven's role as a musician, which aligns perfectly with the established pattern.

In contrast, the other options do not maintain this occupational connection. A writer, for instance, pertains to a different field of art and literature, while a Taoist denotes a philosophical system rather than a profession. Sculptor, while it represents a valid art form, does not correspond directly to Beethoven's identity as a composer and musician. Thus, recognizing the correlation between Van Gogh's painting and Beethoven's music leads us to conclude that musician accurately captures Beethoven's primary role.