# For what values of x, if any, does #f(x) = sec((-15pi)/8+2x) # have vertical asymptotes?

Rewriting using the definition of secant:

This function will have vertical asymptotes when its denominator equals zero, or when:

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The function f(x) = sec((-15pi)/8+2x) has vertical asymptotes when the value inside the secant function, (-15pi)/8+2x, equals odd multiples of pi/2.

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