Final answer:
The Latin American music styles of cumbia, tango, cha cha cha, rumba, and reggae are true to the region, but 'fostrot' seems to be a misidentification, implicating that the answer is not entirely true.
Step-by-step explanation:
Latin American music has seen a tremendous number of styles adopted for dance and vocal arts. Cumbia, tango, cha cha cha, and rumba are indigenous to Latin America and have been popularized in both dance and music.
Reggae, originating from Jamaica, is another genre associated with the Caribbean's vibrant music scene. However, fostrot is likely a typo for 'foxtrot,' which is an American dance style, not Latin American. Similarly, bossa nova is a Brazilian genre that has been influential in vocal arts and instrumental music. Therefore, with the understanding that 'fostrot' is both a typo and not of Latin American origin, the statement is not entirely true.