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Mashutka [201]
2 years ago
14

Express (sin 30 + i cos 30)^18​

Mathematics
1 answer:
Savatey [412]2 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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