That you need to use

JigneshbharatiIs "that" a conjunction here, joining two clauses or it's a relative pronoun modifying"Writing".

It's a relative pronoun, but relative pronouns don't modify. It's a relative pronoun whose antecedent is "style (of writing)".

The whole relative clause "that you need to use when writing formal essays and other assessments for your course"

Thanks

So is not a conjunction? Thanks sorry I am just confused about "that" as a pronoun and a conjunction

Jigneshbharati So is not a conjunction? Thanks sorry I am just confused about "that" as a pronoun and a conjunction

I would not call a relative pronoun a conjunction.

'that' as a conjunction (also called complementizer 'that') occurs in sentences that start with expressions like "I said", "I think", etc.

I think that Larry is ready. / I he

Jigneshbharati So is not a conjunction? Thanks sorry I am just confused about "that" as a pronoun and a conjunction

I don't think -- unless there is some odd case that I'm overlooking -- that "that" can be a conjunction when a previously-mentioned noun or noun phrase (in this case "style of writing") is the implied (not explicitly stated) subject or object of

GPYsubject or object of the second clause

Or any sentence element where a noun might be used.

Here neither the subject nor object of the relative clause is involved:

the day that he died (from He died that day.)
the way that he said it (from He said it that way.)

CJ

CalifJimthe day that he died

Is "that" a relative adverb in the above?

Anonymous CalifJimthe day that he died Is "that" a relative adverb in the above?

Yes and no. You could say that it has adverbial function, but still, it replaces "day", a noun.

CJ

CalifJimYes and no. You could say that it has adverbial function, but still, it replaces "day", a noun.

Thank you for the reply.