"Depends!"
Are you taking a "survey of Calculus" or "Calc for business"? If so, then trig isn't usually necessary. Most courses that I've taught like that use calculus operations on polynomials, exponential functions, and logarithms.
If you are taking "Calculus I, II, III"... that's a different story. The unit circle is your best friend. Knowing about odd and even functions will come in handy.
There are some topics that are inescapable in Calculus, Differential Equations, and beyond. The most obvious one is FACTORING.
Bottom line: take all the math that isn't way too easy for you. If you're in a time crunch, get a tutor and take an accelerated course. Otherwise, hunker down and enjoy the ride!