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If sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^...

If `sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^(-1)x-cos^(-1) y= pi/3 ," then " (x,y)=`

A

`(0,1)`

B

`(1//2,1)`

C

`(1,1//2)`

D

`(sqrt(3)//2,1)`

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The correct Answer is:
B
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