use Euler's Formula to prove that: cos 2 </msup> &#x2061;<!-- ⁡ --> ( &

Nubydayclellaumvcd

Nubydayclellaumvcd

Answered question

2022-04-10

use Euler's Formula to prove that:
cos 2 ( θ ) = cos ( 2 θ ) + 1 2 .

Answer & Explanation

Ahmed Kirby

Ahmed Kirby

Beginner2022-04-11Added 17 answers

Eulers identity e i θ = cos θ + i sin θ
e i θ + e i θ = 2 cos θ 1 4 ( e i θ + e i θ ) 2 = cos 2 θ 1 4 ( e 2 i θ + e 2 i θ + 2 ) = cos 2 θ 1 4 ( 2 cos 2 θ + 2 ) = cos 2 θ 1 2 ( cos 2 θ + 1 ) = cos 2 θ

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?