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-3(cos60 + i sin60)點轉做polar form

發問:

-3(cos60 + i sin60)點轉做polar form plx help 更新: also solve the equation (z-1)/(z-i)=(z+2i)/(z+2)for the complex number z

最佳解答:

-3 (cos 60 + i sin 60) = 3(-1/2 - i√3/2) = 3 [cos (-120) + i sin (-120)] (z - 1)/(z - i) = (z + 2i)/(z + 2) (z - 1)(z + 2) = (z + 2i)(z - i) z2 + z - 2 = z2 + iz + 2 z - iz = 4 z(1 - i) = 4 z(1 - i)(1 + i) = 4(1 + i) 2z = 4 + 4i z = 2 + 2i

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