JEE Main 202126 Aug, Evening shiftMathematicsMediumTrigonometry118× since 2002The value of 2sin(π8)sin(2π8)sin(3π8)sin(5π8)sin(6π8)sin(7π8)2\sin \left( {{\pi \over 8}} \right)\sin \left( {{{2\pi } \over 8}} \right)\sin \left( {{{3\pi } \over 8}} \right)\sin \left( {{{5\pi } \over 8}} \right)\sin \left( {{{6\pi } \over 8}} \right)\sin \left( {{{7\pi } \over 8}} \right)2sin(8π)sin(82π)sin(83π)sin(85π)sin(86π)sin(87π) is :AOption A. 142{1 \over {4\sqrt 2 }}421BOption B. 14{1 \over 4}41COption C. 18{1 \over 8}81DOption D. 182{1 \over {8\sqrt 2 }}821CheckSkip · show solution