The angle of intersection between the cu...

The angle of intersection between the curves `y=[|sinx|+|cosx|]` and `x^(2)+y^(2)=10`, where [x] denotes the greatest integer `ltx`, is-

A

`tan^(-1)3`

B

`tan^(-1)(-3)`

C

`tan^(-1)sqrt(3)`

D

`tan^(-1)((1)/(sqrt(3)))`

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