Let . (i) List all real numbers in the interval for which is defined. (ii) Out of the…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Let f(x)=tan⁡xf(x)=\tan x. (i) List all real numbers xx in the interval [0,3π][0,3\pi] for which f(x)f(x) is defined. (ii) Out of the values obtained in part (i), determine those for which 0≤f(x)≤10\le f(x)\le1. (iii) Present your final answer as an ordered set of real numbers or intervals lying inside [0,3π][0,3\pi].

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