化简cos^4x+sin^2xcos^2x+sin^2x
问题描述:
化简cos^4x+sin^2xcos^2x+sin^2x
答
cos^4x+sin^2xcos^2x+sin^2x
=cos^4x+(1-cos²x)cos²x+sin²x
=cos^4x+cos²x-cos^4x+sin²x
=cos²x+sin²x
=1