Final answer:
Texas gained its independence as a result of the Texas Revolution, cultural and economic tensions with Mexico, and the desire to join the United States. American settlers, with help from Americans, fought to establish the Republic of Texas, recognized internationally by several countries. Therefore, the correct option is C.
Step-by-step explanation:
Texas gained its independence after a series of events that led to the Texas Revolution in 1835-1836. Anglo-American settlers, along with some Tejanos, fought for and declared the independence of Texas as the Republic of Texas, or the Lone Star Republic. Settlers in Texas sought independence from Mexico due to a combination of cultural, political, and economic tensions. They had hoped to see Texas annexed to the United States as part of the western expansion. The American settlers in Texas received substantial help from Americans outside of Texas, including volunteers organized by "Texas committees" in cities like New York and New Orleans after events like the Battle of the Alamo.
Despite cultural differences, religious distinctions, and the illegal status of slavery in Mexico, many American settlers continued to pour into Texas, exacerbating the tensions. The desire for a liberal government, the expansion of slavery, and the lure of plentiful land all contributed to the push for independence. During its time as an independent nation, from 1836 to 1846, Texas sought recognition and protection from external threats, receiving recognition from countries such as France, Great Britain, Belgium, and the Netherlands, with the United States officially recognizing Texas nearly a year after its declaration of independence.