kenny909
26.09.2019 •
Mathematics
Write [2(cos15*+isin15*)]^3 in standard form a+bi
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Ответ:
by moivre theorem :
[2(cos15*+isin15*)]^3 = 2^3(cos(3×45*)+isin(3×45*))
=8 (cos45*+isin45*)
= 8 ( √2/2 +i √2/2)
= 4√2 + 4√2 i ( in standard form a+bi)
a = b = 4√2
Ответ: