(573, #83) How are the graphs of related to
the graph of ? In general, how is the graph of related
to the graph of ?

Solution:

The graph of is the graph of rotated Pi/6 radians counter-clockwise around the origin. The graph of is the graph of rotated Pi/3 radians counter-clockwise around the origin. In general, the graph of is the graph rotated radians counter-clockwise around the origin.

Maple code

by: nl