No science class junior year

You probably need to take a math placement test at the college to prove to them that you know your trigonometry. Many college students take precalculus (including trigonometry) in high school and then go directly calculus and other courses that require knowledge of it. Trigonometry in college would be needed for students who only completed algebra 2 in high school, or whose high school math courses were poor quality.

http://www.math.buffalo.edu/rur/rurci3.cgi is a free online quiz of math topics that you need to know in order to be ready for calculus.