If \[\omega \] is imaginary cube root of unity, then \[\sin \left\{ ({{\omega }^{13}}+{{\omega }^{2}})\pi +\frac{\pi }{4} \right\}\] is equal to

If \[\omega \] is imaginary cube root of unity, then \[\sin \left\{ ({

1.	If \[\omega \] is imaginary cube root of unity, then \[\sin \left\{ ({{\omega }^{13}}+{{\omega }^{2}})\pi +\frac{\pi }{4} \right\}\] is equal to
A.	\[-\frac{\sqrt{3}}{2}\]
B.	\[-\frac{1}{\sqrt{2}}\]
C.	\[\frac{1}{\sqrt{2}}\]
D.	\[\frac{\sqrt{3}}{2}\]
Answer» C. \[\frac{1}{\sqrt{2}}\]

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If \[\omega \] is imaginary cube root of unity, then \[\sin \left\{ ({{\omega }^{13}}+{{\omega }^{2}})\pi +\frac{\pi }{4} \right\}\] is equal to

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