JEE Main 201912 Jan, Morning shiftMathematicsEasyTrigonometry118× since 2002The maximum value of 3cosθ\thetaθ + 5sin (θ−π6)\left( {\theta - {\pi \over 6}} \right)(θ−6π) for any real value of θ\thetaθ is :AOption A. 34\sqrt {34}34BOption B. 31\sqrt {31}31COption C. 19\sqrt {19}19DOption D. 792{{\sqrt {79} } \over 2}279CheckSkip · show solution