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

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

A

`cos(pi/2)+isin(pi/2)`

B

`cospi+i sinpi`

C

`cospi-isinpi`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
`cos(pi/2)- i sin(pi/2)`
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Find the modulus and argument of each of the following complex numbers and hence express each of them in polar form: (i^(25))^(3)

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Knowledge Check

  • The polar form of - 3 is

    A
    `(cospi+isinpi)`
    B
    `pm3(cospi+isinpi)`
    C
    `3(cospi+isinpi)`
    D
    `-3(cospi+isinpi)`

  • If Z = (1+7i)/((2-i)^(2)) then the polar form of z is

    A
    `sqrt2(cos"(3pi)/4-isin"" (3pi)/4)`
    B
    `sqrt2(cos"(3pi)/4+isin"" (3pi)/4)`
    C
    `sqrt2(cos"(7pi)/4+isin"" (7pi)/4)`
    D
    `sqrt2(cos"(7pi)/4-isin"" (7pi)/4)`

  • (i)The polar form of i+sqrt3 is

    A
    Purely real complex number
    B
    forth quadrant
    C
    First quadrant
    D
    `2(cos(pi)/(6)+isin(pi)/(6))`

    • Similar Questions

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    Express the following complex number in the polar form: (i) (1+7i)/((2-i)^(2))( ii) (1+3i)/(1-2i)

    The polar form of the complex number (i^(25))^3 is (a) cos(pi/2)+isin(pi/2) (b) cospi+isinpi (c) cospi-isinpi (d) cos((3pi)/2)+isin((3pi)/2)

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