若a=tan(-7π/6),b=cos23π/4,c=sin(-33π/4)比较大小

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/08 14:36:03
若a=tan(-7π/6),b=cos23π/4,c=sin(-33π/4)比较大小若a=tan(-7π/6),b=cos23π/4,c=sin(-33π/4)比较大小若a=tan(-7π/6),b=

若a=tan(-7π/6),b=cos23π/4,c=sin(-33π/4)比较大小
若a=tan(-7π/6),b=cos23π/4,c=sin(-33π/4)比较大小

若a=tan(-7π/6),b=cos23π/4,c=sin(-33π/4)比较大小
tan(2π-7π/6)=tan(5π/6)=-√3/3
cos23π/4=cos(6π-π/4)=cos(-π/4)=cos(π/4)=√2/2
sin(-33π/4)=sin(-π/4)=-√2/2
而根3=1.7,根2=1.4
所以cos23π/4>tan(2π-7π/6)>sin(-33π/4)