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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-pi/4)`

A

`1/sqrt(2)`

B

`sqrt(3)/2`

C

`-1/sqrt(3)`

D

`-sqrt(3)/2`

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A
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Chapter Test
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  2. If (2z(1))/(3z(2)) is purely imaginary number, then |(z(1)-z(2))/(z(1)...

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  14. If k gt 1, |z(1)| lt k and |(k-z(1)barz(2))/(z(1)-kz(2))|=1, then

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  15. If |z-i|=1 and arg (z) =theta where 0 lt theta lt pi/2, then cottheta-...

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  17. Let z(1),z(2),z(3) be three complex numbers satisfying 1/z(1)+1/z(2)+1...

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