Let n be a natural number, the Show

Oliver Carson

Oliver Carson

Answered question

2022-03-24

Let n be a natural number, the Show that
(cos(2)+isin(2)+1)n=2ncosn(1)(cos(n)+isin(n))

Answer & Explanation

Sawyer Anthony

Sawyer Anthony

Beginner2022-03-25Added 10 answers

2ncosn(1)(cos(n)+isin(n))
=2ncosn(1)(cos(1)+isin(1))n
=(2cos(1)cos(1)+i2cos(1)sin(1))n
=(2cos2(1)+isin(2))n=(cos(2)+isin(2)+1)n

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