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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
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Application +4 | -1
If ω\omega is acomplex cube root of unity, then the value of sin⁡{(ω10+ω23)π−π6}\sin \left\{ {\left( {{\omega ^{10}} + {\omega ^{23}}} \right)\pi - \frac{\pi }{6}} \right\} is
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Correct option: D
12\frac{1}{2}
Option D (12\frac{1}{2}) is correct because, after simplifying the expression using properties of complex cube roots of unity, the sine of the resulting angle is 12\frac{1}{2}.

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