If costheta=8/17 and theta lies in the 1...

If `costheta=8/17` and `theta` lies in the `1^(st)` quadrant, then the value of `cos(30^@+theta)+cos(45^@-theta)+cos(120^@-theta)` is

A

`23/17((sqrt3-1)/2+1/sqrt2)`

B

`23/17((sqrt3+1)/2+1/sqrt2)`

C

`23/17((sqrt3-1)/2-1/sqrt2)`

D

`23/17((sqrt3+1)/2-1/sqrt2)`

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