Consider the function on the interval .

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

Problem

Consider the function y=tan⁡xy = \tan x on the interval 0<x<3π0 < x < 3\pi. (i) List all real numbers in this interval that are not in the domain of y=tan⁡xy = \tan x. (ii) Write the equations of all vertical asymptotes of the graph of y=tan⁡xy = \tan x lying between 00 and 3π3\pi.

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