3 years ago

Express (sin 30 + i cos 30)^18

Mathematics

1 answer:

Savatey [412]3 years ago

8 0

Answer:

-i.

Step-by-step explanation:

Applying DeMoivre' s theorem:

(sin 30 + i cos 30)^18

= sin(18*30) + i cos(18*30)

= sin 540 + i cos 540

= sin (3*180) + i cos (3*180)

= 0 + -1 * i

= -i.

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Express (sin 30 + i cos 30)^18​

Express (sin 30 + i cos 30)^18