shelby7629
09.04.2020 •
Mathematics
Find the following product, and write the product in rectangular form, using exact values.
[8( cos 45° + i sin 45°)][7( cos 165° + i sin 165°)]
[8( cos 45° + i sin 45°)][7(cos 165° + i sin 165°)] = IN
(Type your answer in the form a + bi.)
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Ответ:
Writing each complex number in exponential form makes this very easy. Recall Euler's formula:
Then
(since 45º = π/4 rad)
(since 165º = 11π/12 rad)
The product is
and in Cartesian form this is
Ответ: