Proving that cos &#x2061;<!-- ⁡ --> ( &#x03C0;<!-- π --> 2

Sattelhofsk

Sattelhofsk

Answered question

2022-06-20

Proving that cos ( π 2 + a π ) = 0 when a is an integer

Answer & Explanation

Punktatsp

Punktatsp

Beginner2022-06-21Added 22 answers

Hint: using the fact that cos ( π ) = 1 and sin ( π ) = 0,
cos ( x + π ) = cos ( x ) cos ( π ) sin ( x ) sin ( π ) = cos ( x )
now use induction and the fact that cos ( π 2 ) = 0

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?