The british officially recognized america’s independence in 1783 when
a)the fighting ended after the war.
b)george washington was elected president.
c)the treaty of paris was signed.
d)the declaration of independence was passed.

the Treaty of Paris was signed.

Explanation:

The British officially recognized America’s independence in 1783 when the Treaty of Paris was signed.

The Treaty of Paris gave formal recognition to Great Britain's former colonies as new and independent nations.

The British officially recognized America's independence in 1783 when the c) Treaty of Paris was signed.

Following declaration of independence by 13 colonies from the British government, the United States formed allies with countries such as France Spain, Dutch Republic, etc., to fight and cause conflict with the British government.  

War ensued and in 1782 there was voting by House of Commons for the United States to be granted its independence. Independence negotiations took place delegated by three US official that included Benjamin Franklin. In 1783, the “Treaty of Paris” was signed stating independence of the US.