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Question

If ω is a complex cube root of unity, then sinω10+ω23ππ4 is equal to

A
12
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B
12
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C
1
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D
32
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Solution

The correct option is A 12
Since, ω is a cube root of unity,
sinω10+ω23ππ4
=sinω+ω2ππ4
=sinππ4(1+ω+ω2=0)
=sinππ4=sinπ4
=12

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