In which one of the following intervals can the inequality hold true?

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

Problem

In which one of the following intervals can the inequality sin⁡x<cos⁡x<tan⁡x<cot⁡x\sin x<\cos x<\tan x<\cot x hold true? (1) (7π4,2π)\left(\frac{7\pi}{4},2\pi\right) (2) (3π4,π)\left(\frac{3\pi}{4},\pi\right) (3) (5π4,3π2)\left(\frac{5\pi}{4},\frac{3\pi}{2}\right) (4) (0,π4)\left(0,\frac{\pi}{4}\right)

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