If theta is a positive acute angle and...

If `theta` is a positive acute angle and `"cosec"theta=sqrt(3)` , then the value of `cottheta-"cosec"theta` is

A

`(sqrt(2)-sqrt(3))`

B

`(sqrt(2)(3+sqrt(3)))/(3)`

C

`(sqrt(2)(3-sqrt(3)))/(3)`

D

`(3sqrt(2)+sqrt(3))/(3)`

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