Is there a difference between a tax cut and a cut in the income tax rates?

Answer 1

Yes, A cut in tax rates is one type of tax cut. If some additional changes are made, say some deduction or credit is made available, that's a tax cut but not a change to the tax rates.

Answer 2

A cut in Income Tax rates is a Tax Cut, but all tax cuts need not be regarding Income Tax only. Is it clear?

There are so many types of taxes and any of the taxes if cut, can be termed as tax cut.