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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1
If f(x)=sin⁡x,x∈[−π/2,π/2],f(x)=\sin x, x \in[-\pi / 2, \pi / 2], then which one of the following is not correct?
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Correct option: C
fof(x)fof(x) is decreasing on [−π/2,0][-\pi / 2,0] and is increasing on [0,π/2][0, \pi / 2]
The correct answer is C because fof(x)fof(x) is increasing on the entire interval [−π/2,π/2][-\pi / 2, \pi / 2], not decreasing on [−π/2,0][-\pi / 2,0] and increasing on [0,π/2][0, \pi / 2].

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