JEE Main 20209 Jan, Morning shiftMathematicsMediumTrigonometry118× since 2002The value of cos3(π8){\cos ^3}\left( {{\pi \over 8}} \right)cos3(8π)cos(3π8){\cos}\left( {{3\pi \over 8}} \right)cos(83π)+sin3(π8){\sin ^3}\left( {{\pi \over 8}} \right)sin3(8π)sin(3π8){\sin}\left( {{3\pi \over 8}} \right)sin(83π) is :AOption A. 12{1 \over {\sqrt 2 }}21BOption B. 12{1 \over 2}21COption C. 14{1 \over 4}41DOption D. 122{1 \over 2{\sqrt 2 }}221CheckSkip · show solution