The value of Σ k = 1 ¹⁰ (sin (2kπ)/11 + i cos (2kπ)/11) is:

Complex Numbers and Quadratic Equations: JEE Main 2006 Mathematics question

JEE Main 2006 · Annual, Paper 1 · Q3273

JEE Main 2006Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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

JEE Main 2006Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The value of

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

is :