What is the period of f ( x ) = sin 4 </msup> &#x2061;<!-- ⁡ -->

katkoota00ys

katkoota00ys

Answered question

2022-05-28

What is the period of f ( x ) = sin 4 ( x ) + cos 4 ( x )?

Answer & Explanation

wayembesail

wayembesail

Beginner2022-05-29Added 10 answers

After some nice trig manipulations, you can find that
sin 4 ( x ) + cos 4 ( x ) = cos ( 4 x ) + 3 4
which has a period of
2 π 4 = π 2
Hugo Brady

Hugo Brady

Beginner2022-05-30Added 3 answers

sin 4 x + cos 4 x = ( sin 2 x + cos 2 x ) 2 2 sin 2 x cos 2 x = 1 1 2 sin 2 2 x
as a result has a period of:
2 π 4 = π 2

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?