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The polar form of the complex number (i^...

The polar form of the complex number `(i^(25))^(3)` is

A

`cos (pi)/(2)+i sin (pi)/(2)`

B

`cos pi+i sin pi`

C

`cos pi-i sin pi`

D

`cos (pi)/(2)-i sin (pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  2. If alpha, beta and gamma are angles such that tan alpha+tan beta+tan g...

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  3. The polar form of the complex number (i^(25))^(3) is

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  4. For what value of x and y, the complex numbers. 9 y^(2)-4-10 x i and ...

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  5. The point represented by the complex number 2-i is rotated about origi...

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  6. The locus of the point z satisfying arg ((z-1)/(z+1))=k, (where k is n...

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  7. Let omega is an imaginary cube root of unity then the value of 2(1+o...

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  8. If z=(-2)/(1+sqrt(3) i), then the value of arg z is

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  9. If z(1), z(2), z(3) be vertices of an equilateral triangle occurring ...

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  10. If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=

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  11. If omega is a complex cube root of unity then the value of (p++q omega...

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  12. If z is a complex number in the argand plane, then the equation |z-2|+...

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  13. Cube roots of unity are in

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  14. If x=a+b, y=a omega+b omega^(2), z=a omega^(2)+b omega, then x y z=

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  15. The argument of (1-i sqrt(3))/(1+i sqrt(3))=

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  16. If omega is the cube root of unity of the equation z^(3)=1, then the v...

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  17. The reciprocal of 3+i sqrt(7) is

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  18. If (cos theta+i sin theta) .(cos 2 theta+i sin 2 theta) ldots ldots(c...

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  19. If ((1+i sqrt(3))/(1-i sqrt(3)))^(n) is an integer, then n=

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  20. The value of (1+omega^(2)+2 omega)^(3 n)-(1+omega+2 omega^(2))^(3 n)=

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