In my titration method it says trial titration. In my table it says rough titration.

I know the meaning of both.

But, are they the same thing and could i say my first titration rough value is both the trial titration and rough titration?

Frankly, I don't know how your prof uses those terms. In my book a trial titration is a good one but it's just one of several; i.e., one may do 3 trial titrations and use the average in calculations. A rough titration is one is which we aren't too careful and the answer for the titration is somewhere in the vicinity of the correct value. I use them with different definitions.

In the context of titration, trial titration and rough titration are similar but not exactly the same thing. Let me explain:

Trial Titration: A trial titration is the first attempt at performing the titration. It is used to get an initial estimate of the equivalence point, which is the point at which the reaction is complete. The purpose of a trial titration is to determine the approximate volume of the titrant required to reach the equivalence point. It helps in planning subsequent titrations by giving an idea of the expected volume of titrant needed.

Rough Titration: A rough titration, on the other hand, is a more accurate and refined version of the trial titration. It is usually performed after the trial titration to get a more precise determination of the equivalence point. In a rough titration, small adjustments are made in order to achieve a more accurate result. The rough titration is typically performed 2-3 times until consistent and repeatable results are obtained.

So, to answer your question, the first titration you perform could be considered both a trial titration and a rough titration, assuming it is your initial attempt to determine the volume required for the equivalence point. However, it is important to note that subsequent titrations are usually referred to as rough titrations once adjustments are made for increased accuracy.

It's always good to consult your specific lab or experiment instructions to be sure of the terminology and procedures used in your method.