The value of … is :

Complex Numbers

JEE Main 2006 · Annual, Paper 1 · Q3273

MathematicsMedium53×since 2002Q3273

The value of

\sum\limits_{k = 1}^{10} {\left( {\sin {{2k\pi } \over {11}} + i\,\,\cos {{2k\pi } \over {11}}} \right)}

is :

JEE Main 2006 · Annual, Paper 1 · Q3273

MathematicsMedium53×since 2002Q3273

The value of

\sum\limits_{k = 1}^{10} {\left( {\sin {{2k\pi } \over {11}} + i\,\,\cos {{2k\pi } \over {11}}} \right)}

is :