If tan(A-B)=1andsec(A+B)=(2)/(sqrt(3)),t...

If `tan(A-B)=1andsec(A+B)=(2)/(sqrt(3))`,then the smallest positive values of A and B,respectively,are

A

`(25pi)/(24),(19pi)/(24)`

B

`(19pi)/(24),(25pi)/(24)`

C

`(31pi)/(24),(13pi)/(24)`

D

`(13pi)/(24),(31pi)/(24)`

Verified by Experts

The correct Answer is:

A

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