用单位圆和诱导公式判断三角函数的符号1.sin185°2.sin(-17π/5)3.sin7.6π4.cos(-23π/4)5.cos940°6.cos(-59π/17)
问题描述:
用单位圆和诱导公式判断三角函数的符号
1.sin185°
2.sin(-17π/5)
3.sin7.6π
4.cos(-23π/4)
5.cos940°
6.cos(-59π/17)
答
1.负数;
2.sin(-17π/5)=-sin(17π/5),负数.
3.负数.
4.cos(-23π/4)=cos(23π/4)=cos(6π-(π/4))=cosπ/4.正数.
5.cos940°=cos(720+220)=cos(180+40)=cos40º,正数.
6.cos(-59π/17)=cos59π/17=cos(2π+π+(8π/17))=-cos8π/17,负数.