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

oppsiktrl3

oppsiktrl3

Answered question

2023-01-06

How to simplify sin4xcos4x?

Answer & Explanation

Elgari8lx

Elgari8lx

Beginner2023-01-07Added 7 answers

Applying the subsequent
a2b2=(a+b)(ab)
sin2(x)+cos2(x)=1
cos(2x)=cos2(x)sin2(x)
We have:
sin4(x)cos4(x)=(sin2(x)+cos2x())(sin2(x)cos2x())
=(1)(cos(2x))
=cos(2x)

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?