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Juan Set 1 Paper 1 · Q20

Paper 1Trigonometry

Let xx, yy, zz be distinct elements, one each, of the set {π4,3π4,5π4}\left\{\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{5\pi}{4}\right\}, such that

sin⁡x<tan⁡y<sec⁡z.\sin x<\tan y<\sec z.

Which of the following is the correct ordering of xx, yy, and zz?

Ax<y<zx<y<z
By<x<zy<x<z
Cy<z<xy<z<x
Dz<x<yz<x<y
Ez<y<xz<y<x

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