Euler's formula to show cos t=(e^(it) +e^(-it))/2 ?

klepnin4wv

klepnin4wv

Answered question

2022-12-18

Euler's formula to show cos t = e i t + e i t 2 ?

Answer & Explanation

Marcos Glass

Marcos Glass

Beginner2022-12-19Added 4 answers

We have e i t = cos ( t ) + i sin ( t ). Replacing t by -t, we get e i t = cos ( t ) i sin ( t ). Adding both, we get
e i t + e i t = 2 cos ( t ) cos ( t ) = e i t + e i t 2

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