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Find the principal argument of the complex number `sin(6pi)/5+i(1+cos(6pi)/5)dot`

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Knowledge Check

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

    A
    `(2 pi)/(3)`
    B
    `(pi)/(6)`
    C
    `(5 pi)/(6)`0
    D
    `(pi)/(2)`

  • 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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    Find the modulus and principal argument of the following complex numbers. sqrt(3)+i

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