化简sin(2x-pi)sin[x+(3/2)pi]/cos[x+(5/2)pi][1-sin(pi+x)]

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/01 11:25:12
化简sin(2x-pi)sin[x+(3/2)pi]/cos[x+(5/2)pi][1-sin(pi+x)]

化简sin(2x-pi)sin[x+(3/2)pi]/cos[x+(5/2)pi][1-sin(pi+x)]
化简sin(2x-pi)sin[x+(3/2)pi]/cos[x+(5/2)pi][1-sin(pi+x)]

化简sin(2x-pi)sin[x+(3/2)pi]/cos[x+(5/2)pi][1-sin(pi+x)]
sin(2x-pi)sin[x+(3/2)pi]/cos[x+(5/2)pi][1-sin(pi+x)]
=(-sin2x)(cosx)/(-sinx)(1+sinx)
=(2sinxcos²x)/(sinx)(1+sinx)
=(2cos²x)/(1+sinx)
=(1+cos2x)/(1+sinx)