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If cos (theta -theta1) = 1/(2sqrt(3)) an...

If `cos (theta -theta_1) = 1/(2sqrt(3))` and `sin(theta-theta_2)=1/(3sqrt(2))` where `0< theta-theta_1`, `theta-theta_2 lt pi/2`, then the value of `108/5[cos^2(theta_1-theta_2)+sqrt6/18sin (theta_1-theta_2)]=?`

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