In the interval

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

In the interval (−2π, 2π)(-2\pi,\,2\pi), at how many distinct xx-values does exactly two of the three functions y=tan⁡xy = \tan x, y=sec⁡xy = \sec x and y=csc⁡xy = \csc x have vertical asymptotes? (a) 5 (b) 3 (c) 4 (d) 6

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