For the following complex numbers z1 and zą, find z,z2 and 4 Write the number in the form a + ib. z1 = 2 (cos+i sin=) and z2 = 4 3n + i sin- Also verify that (i) Arg(z, z2) = Arg(z,) + Arg(z2) (ii) Arg(z1/z2) = Arg(z,) – Arg(z2)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a) For the following complex numbers z, and zz, find z,z, and 4 Write the
Zz
number in the form a + ib.
Z1 = 2 (cos-+ i sin -) and z2 = 4 (cos-
Зл
3n
+ i sin-
8
8
Also verify that
(1) Arg(z, z2) = Arg(z,) + Arg(z2)
(ii) Arg(z,/z2) = Arg(z,) – Arg(z2)
Transcribed Image Text:a) For the following complex numbers z, and zz, find z,z, and 4 Write the Zz number in the form a + ib. Z1 = 2 (cos-+ i sin -) and z2 = 4 (cos- Зл 3n + i sin- 8 8 Also verify that (1) Arg(z, z2) = Arg(z,) + Arg(z2) (ii) Arg(z,/z2) = Arg(z,) – Arg(z2)
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