Question

Find all values of the complex power (-i)- and its principal value. pi
​

Answer 1

Answer:

)+sin(

9

11π

)

=2cos

2

(

18

11π

)+i×2sin(

18

11π

)cos(

18

11π

)

=2cos(

18

11π

)[cos

18

11π

+isin

18

11π

]

⇒∣z∣=2cos(

18

11π

)

⇒180°<

18

11π

<270°

∴ Principle argument is

18

11π

−π=

18

−7π

Hence, the answer is

18

−7π

,2cos(

18

11π

).