If and ,…

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

If 0<x<π20<x<\frac{\pi}{2} and sin⁡nx+cos⁡nx≥1\sin^n x+\cos^n x\geq1, then (1) n∈[2,∞)n\in[2,\infty) (2) n∈(−∞,2]n\in(-\infty,2] (3) n∈[−1,1]n\in[-1,1] (4) None of these

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