Correct option is 2n∈−∞,2

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If $0 < x < \frac{π}{2}$ and $\sin^{n} x + \cos^{n} x > 1$ then

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n∈2,∞

n∈−∞,2

n∈−1,1

None of these

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Correct option is B

Since 02, bothsinnx and cosnx will decrease and hence sinnx +cosnx<1When n<2,both sinnx and cosnx will increase andhence sinnx+cosnx≥1 for n≤2Thus sinnx+cosnx≥1 for n≤2

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If 0<x<π2 and sinnx+cosnx>1 then

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If $0 < x < \frac{π}{2}$ and $\sin^{n} x + \cos^{n} x > 1$ then