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If (x+iy)^(3) = u + iy, then show that u...

If `(x+iy)^(3) = u + iy`, then show that `u/x + v/y = 4(x^(2)-y^(2))`

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Knowledge Check

  • If cos ( x+ iy) = A + iB, then A =

    A
    cos x cosh y
    B
    sin x sinh y
    C
    `-sin x sinh y `
    D
    `cos x sinh y `

  • If sin ( x+ iy) = A +iB, then A =

    A
    sinh x cos y
    B
    sin x cosh y
    C
    cos x sinh y
    D
    cosh x sin y

  • If (x + iy)^((1)/(3)) = 5+ 3i , then 3x + 5y =

    A
    480
    B
    152
    C
    990
    D
    960

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