Teaching UP TGT Mock Test Series 2025 Mathematics Complex Numbers Roots of Unity

If ω is imaginary cube root of unity, then sin\(\{(\omega^{13} + \omega^{20}) \pi \ + \ \frac{\pi}{4}\} \) is equal to

1
\(-\frac{\sqrt{3}}{2}\)
2
\(-\frac{1}{\sqrt{2}}\)
3
\(\frac{1}{\sqrt{2}}\)
4
\(\frac{\sqrt{3}}{2}\)
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