A Level

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Let y=sec⁡xy=\sec x. (i) Find all vertical asymptotes of its graph that lie between −2π-2\pi and 2π2\pi. (ii) Compute the distance between any two consecutive vertical asymptotes of y=sec⁡xy=\sec x and explain why this distance is the same for every such pair.

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