Y=sin^2x+sin2x+2cos^2x化简

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/26 16:38:44
Y=sin^2x+sin2x+2cos^2x化简Y=sin^2x+sin2x+2cos^2x化简Y=sin^2x+sin2x+2cos^2x化简y=sin²x+sin(2x)+2cos

Y=sin^2x+sin2x+2cos^2x化简
Y=sin^2x+sin2x+2cos^2x化简

Y=sin^2x+sin2x+2cos^2x化简
y=sin²x+sin(2x)+2cos²x
y=sin²x+2sinx·cosx+2cos²x
y=(sinx+cosx)²+cos²x
好像只能化简到这里了

—(sinx-cosx)^

Y=sin^2x+sin2x+2cos^2x
=(1-cos2x)/2+sin2x+1+cos2x
=3/2+1/2cos2x+sin2x
=3/2+根号5/2*sin(2x+v),其中cosv=根号5/5,sinv=2根号5/5