A spouse's cousin is typically referred to as your "cousin-in-law." This term denotes the familial relationship formed through marriage rather than blood. While you may not have a close familial bond, they are still considered part of your extended family.
There are a range of possibilities, depending on the exact relationship. If the nephew is the son of one of your cousins (i.e., they are the child of one of his brothers or sisters) they would be a first cousin twice removed. If they are the child of one of the spouses' brother's or sister's spouses, there is no relationship, though most families would probably refer to them as a distant cousin.
It's called "bigamy" (bi meaning 2 - as in 2 spouses).
rani :P
Not really, because spouses of cousins aren't part of the kinship system in the United States. (However, you can opt to start calling each other "cousin" if you like--there's no rule against it.)
Your first cousin.
The cousin to a seagull is called a tern.
Your cousin in-law
Peitho is called his bride.
The English language does not use the phrase "cousin brother." The brother of your cousin is also your cousin.
Zayn Malik doesn't have a cousin called May.
Africa About half the states of the USA permit the marriage of first cousins.
Male or female it is "cousin". Doesn't matter age or sex.