How do you simplify Sin^2xcos^2x-cos^2x ? -Thanks

1 Answer
Jan 16, 2018

It simplifies to cos4x

Explanation:

sin2xcos2xcos2x

cos2x(sin2x1)

We know that sin2x+cos2x=1, so
sin2x1=cos2x
Therefore:

cos2x(cos2x)

cos4x