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.