What arguments did the colonists use to object to the new taxes in the 1760s?

There were
three major arguments that the colonists used when objecting to the new taxes imposed by the
British in these years.

First, they argued that they should not be taxed by a
legislature in which they were not represented .  This is the famous "no taxation without
representation" argument."

Second, they argued that Parliament
should only tax for the purpose of regulating trade.  They argued that taxes that were meant
solely for the purpose of raising revenue went against the (unwritten) British
constitution.

Third, they argued that Parliament only had the right to impose
taxes on goods that entered and left the colonies.  They argued that Parliament had no right to
impose taxes on things that were not being traded into or out of the colonies.

All of these arguments were used at various times to oppose the new taxes imposed by
the British.