For the following complex numbers z, and z2, find z,z2 and 4. Write the Z2 number in the form a + ib. Z, = 2( cOs – 8. cos+i sin) and z2 = 4 +i sin 8. Z, = 4( COs– Also verify that (i) Arg(z, z2) = Arg(z,) + Arg(z2) (ii) Arg(z1/z2) = Arg(z,) – Arg(z2)
For the following complex numbers z, and z2, find z,z2 and 4. Write the Z2 number in the form a + ib. Z, = 2( cOs – 8. cos+i sin) and z2 = 4 +i sin 8. Z, = 4( COs– Also verify that (i) Arg(z, z2) = Arg(z,) + Arg(z2) (ii) Arg(z1/z2) = Arg(z,) – Arg(z2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Z1
a) For the following complex numbers z, and z2, find z,z2 and 4. Write the
Z2
number in the form a + ib.
z1 = 2(cos - + i sin
8
+i sin
аnd z, 3D 4 ( сos —
8
8.
Also verify that
(i) Arg(z,z2) = Arg(z,) + Arg(z2)
(ii) Arg(z,/z2) = Arg(z,) – Arg(z2)
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