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Q.

Let a1=cos⁡(sin⁡πx),a2=sin⁡(cos⁡πx) and a3=cos⁡(π(x+1)), where −12

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a

a3

b

a1

c

a3

d

a2

answer is A.

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Detailed Solution

Let y = - x, then we have 00,a2=sin⁡(cos⁡πy)>0 and a3=cos⁡(1−y)π=−cos⁡πy<0now, sin⁡πy+cos⁡πy≤2<π2⇒sin⁡(cos⁡πy)
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