Question 5

Algebra Level 4

If A1A_{1}, A2A_{2}, A3A_{3} are the arguments of the roots of the complex equation Z3α3=0Z^3-\alpha^3=0, where α\alpha is a constant complex number with modulus 11, find the value of: n=1n=3cos(An)+sin(An)\sum_{n=1}^{n=3}{\cos(A_{n})+\sin(A_{n})} .

\bullet This question is part of the set For the JEE-nius;P

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