How to simplify cos^4x-sin^4x?

Ryland Solomon

Ryland Solomon

Answered question

2023-02-05

How to simplify cos 4 x - sin 4 x ?

Answer & Explanation

Gerardo Goodman

Gerardo Goodman

Beginner2023-02-06Added 7 answers

f ( x ) = cos 4 x - sin 4 x = ( cos 2 x - sin 2 x ) ( cos 2 x + sin 2 x )
Reminder of trig identities:
cos 2 x - sin 2 x = cos 2 x
( sin 2 x + cos 2 x ) = 1
Hence,
f ( x ) = cos 2 x

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