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If theta lies in the first quardrant and...

If `theta` lies in the first quardrant and `costheta=(8)/( 17 )`, then find the value of `cos(30^(@)+theta)+cos(45^(@)-theta)+cos(120^(@)-theta)`.

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 ((sqrt+1)/(2) -(1)/(sqrt2))`

Text Solution

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The correct Answer is:
A
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