d) Determine the three culmroots of the complex number (-10 + j6)5 in both polar and Cartesian forms and show the roots on an Argand diagram. e) By equating the real parts of show that cos 50+ jsin 50 = (cos 8 + jsin 8 )5 = cos 50 Also express sin 50 as powers of sin 8. 16cos50 20cos³8+5 cos 0.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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d) Determine the three cubmroots of the complex number (-10 + j6)5 in both polar and Cartesian
forms and show the roots on an Argand diagram.
e) By equating the real parts of
show that
cos 50+ jsin 50 = (cose + j sin 8 )5
cos 50 = 16cos50-20cos³0+5 cos 0.
Also express sin 50 as powers of sin 8
Transcribed Image Text:d) Determine the three cubmroots of the complex number (-10 + j6)5 in both polar and Cartesian forms and show the roots on an Argand diagram. e) By equating the real parts of show that cos 50+ jsin 50 = (cose + j sin 8 )5 cos 50 = 16cos50-20cos³0+5 cos 0. Also express sin 50 as powers of sin 8
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