Find all values for cos(i) In my Differential Equations class recently we have learned about Euler's Formula and Fourier Series. I am given the problem Find all values for cos(i) where i = sqrt(-1). There is a long list of similar problems, but I figure if I can get some help on one of them I can learn to do the rest. If possible, could an answer show me not all the work, but maybe just show me where to start? I want to learn how to get the answers myself, not just be given answers.

riwayatcbt

riwayatcbt

Answered question

2022-11-27

Find all values for cos(i)
In my Differential Equations class recently we have learned about Euler's Formula and Fourier Series. I am given the problem Find all values for cos ( i ) where i = ( 1 ) . There is a long list of similar problems, but I figure if I can get some help on one of them I can learn to do the rest.
If possible, could an answer show me not all the work, but maybe just show me where to start? I want to learn how to get the answers myself, not just be given answers.

Answer & Explanation

Reina Higgins

Reina Higgins

Beginner2022-11-28Added 3 answers

cos ( i ) = e i 2 + e i 2 2 = e 1 + e 2 = 1 + e 2 2 e
Davion Griffith

Davion Griffith

Beginner2022-11-29Added 2 answers

Too simple, has only one real value.
cos ( i ) = cosh ( i . i ) = cosh ( 1 ) = cosh ( 1 ) = ( e + 1 / e ) / 2

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