Ma beteg vagyok, és sokat köhögök.

A quick breakdown:

• Ma = today
• beteg = sick / ill
• vagyok = I am
• és = and
• sokat = a lot
• köhögök = I cough / I am coughing

So grammatically, it is:

• Ma = time word
• beteg vagyok = I am sick
• és = joins the two parts
• sokat köhögök = I cough a lot / I’m coughing a lot

Yes, you can move ma, but the emphasis changes.

• Ma beteg vagyok, és sokat köhögök.
  = Today, I’m sick, and I’m coughing a lot.
  This is a very natural way to set the time frame first.

• Beteg vagyok ma, és sokat köhögök.
  Also possible, but ma feels less like the main frame and more like added information.

Hungarian word order is more flexible than English word order. It often reflects topic and focus, not just fixed sentence structure.

Hungarian usually leaves out subject pronouns when they are clear from the verb ending.

• vagyok already means I am
• köhögök already means I cough / I’m coughing

So én is not necessary.

You would add én only for emphasis or contrast, for example:

• Én beteg vagyok, nem ő.
  = I’m sick, not him/her.

This is very different from English, where the subject pronoun is normally required.

In this sentence, vagyok is required because the subject is first person singular: I am.

Hungarian does sometimes leave out to be in the present tense, but only in third person singular/plural in many simple sentences:

• Ő beteg. = He/she is sick.
• Ők betegek. = They are sick.

But with I, you, we, and so on, the verb must appear:

• beteg vagyok = I am sick
• beteg vagy = you are sick

So beteg vagyok is correct, and beteg alone would not mean I am sick.

Because beteg here is a predicate adjective, not a noun phrase.

• beteg vagyok = I am sick
• a beteg = the sick person / the patient

So in this sentence, beteg works like English sick in I am sick. No article is needed.

köhögök comes from the verb köhögni = to cough.

The ending -ök marks first person singular in the present tense here, so:

• köhögök = I cough / I’m coughing

The ending appears as -ok / -ek / -ök depending partly on vowel harmony and the shape of the verb stem.

Because köhög contains front rounded vowels (ö), the -ök ending is used.

So:

• köhögök = I cough
• köhögsz = you cough
• köhög = he/she coughs

This is a very common Hungarian pattern.

• sok = many / much / a lot
• sokat = literally the accusative form, but very often used adverbially to mean a lot

So:

• sokat köhögök = I cough a lot

Even though -t is often the accusative ending, forms like sokat are frequently used in expressions of degree or extent.

Compare:

• Sokat dolgozom. = I work a lot.
• Sokat olvas. = He/she reads a lot.

So this is something English speakers just need to get used to: Hungarian often uses an accusative-looking form where English uses an adverb phrase.

It can mean either one, depending on context.

Hungarian does not have a separate compulsory progressive form like English I am coughing. The simple present often covers both:

• I cough
• I am coughing

In this sentence, because of ma (today) and the whole context of being sick, English will often translate it naturally as:

• Today I’m sick, and I’m coughing a lot.

But grammatically, the Hungarian present form itself does not force that distinction.

Because és is joining two full clauses, each with its own finite verb:

1. Ma beteg vagyok
2. sokat köhögök

Hungarian normally uses a comma in this kind of situation.

Compare:

• Beteg vagyok, és sokat köhögök.
  Two clauses → comma

But:

• Beteg és fáradt vagyok.
  Just two adjectives, not two clauses → no comma

So the comma is there because the second part is not just another word or phrase; it is a full clause.

A rough pronunciation guide:

• Ma ≈ mah
• beteg ≈ beh-teg
• vagyok ≈ vaw-dyok or vaw-yok
  (the gy sound is a soft Hungarian consonant, somewhat like the d in British duke for some speakers, but not exactly)
• és ≈ aysh
• sokat ≈ sho-kaht
• köhögök ≈ kuh-huh-gurk
  (very approximate; the ö sound does not exist naturally in standard English)

A few pronunciation tips:

• Hungarian stress is usually on the first syllable of each word:

  • MA
  • BE-teg
  • VA-gyok
  • ÉS
  • SO-kat
  • KÖ-hö-gök

• s in Hungarian sounds like English sh

  • és sounds like aysh
  • sokat begins with sh

• ö is a rounded front vowel, similar to German ö or French eu in some words.

• gy is a special Hungarian consonant; it is softer than English g.

Yes, that is possible, but it sounds a bit different in emphasis.

• sokat köhögök is the more neutral, common order
• köhögök sokat can sound more marked, depending on context

Hungarian word order is often used to highlight what is most important or new in the sentence. A learner should usually start with the more neutral version:

• Ma beteg vagyok, és sokat köhögök.

That is idiomatic and natural.