$$cossinx=12then$$ xmust lie in the interval :

Correct option is 1,3,4undefined

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$\cos (\sin x) = \frac{1}{\sqrt{2}}$ then $x$ must lie in the interval :

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π4,π2

−π4,0

π,3π2

π2,π

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detailed solution

Correct option is A

cossinx=12=cosπ4⇒sinx=2nπ±π4, n∈Ι⇒sinx=±π4 ∵-1≤sinx≤1∴x∈π4,π2, π2,π and π,3π2

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cossinx=12then xmust lie in the interval :

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$\cos (\sin x) = \frac{1}{\sqrt{2}}$ then $x$ must lie in the interval :