A) \[-\sqrt{3}/2\]
B) \[-1/\sqrt{2}\]
C) \[1/\sqrt{2}\]
D) \[\sqrt{3}/2\]
Correct Answer: C
Solution :
Given, \[\sin \left[ ({{\omega }^{10}}+{{\omega }^{23}})\pi -\frac{\pi }{4} \right]=\sin \left[ (\omega +{{\omega }^{2}})\pi -\frac{\pi }{4} \right]\] \[=\sin \left( -\pi -\frac{\pi }{4} \right)=-\sin \left( \pi +\frac{\pi }{4} \right)=\sin \frac{\pi }{4}=\frac{1}{\sqrt{2}}\].
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