Example 3 Separate into real and imaginary parts tan-1 ( a + i b )

Solution : Let tan-1 ( a + i b ) = x + i y Þ tan (x + iy) = a + i b

\ tan (x -iy) = a - i b

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Index

8.1 Geometry of complex numbers
8.2 De - Moivres's theorem
8.3 Roots of complex numbers
8.4 Cirsular functions of complex angles & hyperbolic function
Supplementary Problems

Chapter 9