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If x = cis theta , then find the valu...

If ` x = cis theta ` , then find the value of `[x^(6) + 1/x^(6)]`.

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DE MOIVRE'S THEOREM-EXERCISE - 2 (b)
  1. Find all the values of following . (-32)^(1//5)

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  2. If A, B, C are angles of a triangle such that x = cis A , y = cis B ,...

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  3. If x = cis theta , then find the value of [x^(6) + 1/x^(6)].

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  4. Find the cube roots of 8 .

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  5. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  6. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  7. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  8. Prove that - omega, " and " - omega^(2) are the roots of z^(2) - z...

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  9. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  10. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  11. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  12. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  13. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  14. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  15. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  16. Solve the following equations. x^(4) - 1 = 0

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  17. Solve the following equations. x^(5) + 1 = 0

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  18. Solve the following equations. x^(9) - x^(5) + x^(4) - 1 = 0

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  19. Solve the following equations. x^(4) + 1 = 0

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  20. Find the number of 15^(th)roots of unity, which are also 25^(th) roots...

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