If and ,…

MATHEMATICS · Multi correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If 0≤x≤2π0 \leq x \leq 2\pi and ∣cos⁡x∣≤sin⁡x|\cos x| \leq \sin x, then (1) The set of all values of xx is [π4,3π4]\left[\frac{\pi}{4},\frac{3\pi}{4}\right]. (2) The number of solutions that are integral multiples of π4\frac{\pi}{4} is four. (3) The sum of the largest and the smallest solution is π\pi. (4) The set of all values of xx is x∈[π4,π2)∪(π2,3π4]x \in \left[\frac{\pi}{4},\frac{\pi}{2}\right) \cup \left(\frac{\pi}{2},\frac{3\pi}{4}\right].

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