tanx=2,化简1/(1+sinx*cosx)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/25 17:41:39
tanx=2,化简1/(1+sinx*cosx)tanx=2,化简1/(1+sinx*cosx)tanx=2,化简1/(1+sinx*cosx)分子分母同除以cos2x1/(1+sinx*cosx)=

tanx=2,化简1/(1+sinx*cosx)
tanx=2,化简1/(1+sinx*cosx)

tanx=2,化简1/(1+sinx*cosx)
分子分母同除以cos2x
1/(1+sinx*cosx)=[1/cos2x]/[ 1/cos2x +tanx]
而1/cos2x=(sin2x+ cos2x)/ cos2x=tan2x+1=4+1=5
1/(1+sinx*cosx)=[1/cos2x]/[ 1/cos2x +tanx]=5/(5+2)=5/7