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If omega is a cube root of unity then fi...

If `omega` is a cube root of unity then find the value of `sin((omega^(10)+omega^(23))-pi/4)`

A

`- (sqrt(3))/(2)`

B

`-(1)/(sqrt(2))`

C

`(1)/(sqrt(2))`

D

`(sqrt(3))/(2)`

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -EXERCISE LEVEL 1
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  8. If arg(z) lt 0, then find arg(-z) -arg(z).

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  10. Let z1 and z2 be nth roots of unity which subtend a right angle at the...

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  11. The complex number z1,z2 and z3 satisfying (z1 - z3)/(z2 - z3) = ( 1 -...

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  18. If omega is complex cube root of that 1/(a+omega)+1/(b+omega)+1/(c+ome...

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