Rewrite the function 2 + 4 sin &#x2061;<!-- ⁡ --> ( &#x03C0;<!-- π --> t

Leonel Contreras

Leonel Contreras

Answered question

2022-06-13

Rewrite the function 2 + 4 sin ( π t + π 6 ) into a sum of exponential functions. By that I mean using Euler's formula sin ( x ) = e i π x e i π x 2 i
If it wasn't for the π 6 term, this wouldn't be a problem for me, but I'm not sure what I can do to fix that.

Answer & Explanation

Mateo Barajas

Mateo Barajas

Beginner2022-06-14Added 13 answers

Using additional formulas:
2 + 4 sin ( π t + π 6 ) = 2 + 4 sin ( π t ) cos π 6 + 4 cos ( π t ) sin π 6 =
= 2 + 2 3 e i π 2 t + e i π 2 t 2 + 2 e i π 2 t e i π 2 t 2 i

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?