If \[\omega \] is an imaginary cube root of unity, then the value of \[\sin \,\left[ ({{\omega }^{10}}+{{\omega }^{23}})\,\pi -\frac{\pi }{4} \right]\] is [IIT Screening 1994]

If \[\omega \] is an imaginary cube root of unity, then the value of

1.	If \[\omega \] is an imaginary cube root of unity, then the value of \[\sin \,\left[ ({{\omega }^{10}}+{{\omega }^{23}})\,\pi -\frac{\pi }{4} \right]\] is [IIT Screening 1994]
A.	\[-\sqrt{3}/2\]
B.	\[-1/\sqrt{2}\]
C.	\[1/\sqrt{2}\]
D.	\[\sqrt{3}/2\]
Answer» D. \[\sqrt{3}/2\]

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If \[\omega \] is an imaginary cube root of unity, then the value of \[\sin \,\left[ ({{\omega }^{10}}+{{\omega }^{23}})\,\pi -\frac{\pi }{4} \right]\] is [IIT Screening 1994]

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