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a
1
b
-1
c
12
d
-12
answer is C.
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Detailed Solution
We have,sin−1x2+cos−1x2=5π28 ⇒sin−1x2+π2−sin−1x2=5π28⇒2sin−1x2=−πsin−1x−3π28=0 ⇒sin−1x=π±4π24⇒sin−1x=3π4 or −π4⇒x=sin3π4 or sin−π4∴x=12 or −12