计算tan(-1560度)cos(17π/6)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/11 15:27:22
计算tan(-1560度)cos(17π/6)计算tan(-1560度)cos(17π/6)计算tan(-1560度)cos(17π/6)tan(-1560º)cos(17π/6)=tan(

计算tan(-1560度)cos(17π/6)
计算tan(-1560度)cos(17π/6)

计算tan(-1560度)cos(17π/6)
tan(-1560º)cos(17π/6)=tan(-1800º+240º)cos(17π/6-2π)=tan(240º)cos(5π/6)=tan(180º+60º)×cos(5π/6)=tan60ºcos(5π/6)=(√3)×(-√3/2)=-1.5

tan(-1560°)×cos(17π/6)
=tan(-9×180°+60°)×cos(3π+π/6)
=(tan60°)×(-cos30°)
=(√3)×(-√3/2)
=-3/2

负的二分之三,打错了

tan(-1560度)cos(6分之17派)
=tan(1440-1560度)cos(6分之17派-2π)=tan(-120)cos(5π/6)=-√3*(-√3/2)=3/2

tan(-1560°)cos(17π/6)
=tan(-360°×5+240°)cos(2π+(5π/6))
=tan240°cos(5π/6)
=tan(240°π/180°)cos(5π/6)
=tan(4π/3)cos(5π/6)
=tan(π+(π/3))×cos(π-(π/6))
=tan(π/3)×(-cos(π/6))
=√3×(-√3/2)
=-3/2