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Write in polar form of the complex numbe...

Write in polar form of the complex numbers.
3 - i `sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `4[cos(2 k pi + pi/3) + i sin (2 k pi + (pi)/3)], k in z`
(ii) `2sqrt(3)[cos(2 k pi - (pi)/6) + i sin(2 k pi - pi/6)], k in z`
(iii) `2sqrt(2)[cos 2 k pi - (3 pi)/4 + i sin 2 kpi - (3pi)/4] k in z`
(iv) `sqrt(2)[cis 2 k pi + (5pi)/12], k in z`
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Knowledge Check

  • The principal argument of the complex number ((1 + i sqrt(3))^(2))/(4i(1 - i sqrt(3))) is

    A
    `(2pi)/(3)`
    B
    `(pi)/(6)`
    C
    `(5pi)/(6)`
    D
    `(pi)/(2)`
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