用诱导公式求下列三角函数值cos(-17π/4)cos(-17π/4) sin(-2160°52′) cos(-1751°36′)sin(-26π/3)谢过了
问题描述:
用诱导公式求下列三角函数值cos(-17π/4)
cos(-17π/4)
sin(-2160°52′)
cos(-1751°36′)
sin(-26π/3)
谢过了
答
cos(-17π/4)=cos(-4π -π/4)=cos(-π/4)=cos(π/4)=(根号2)/2
sin(-2160°52′)=sin(-6*360°-52′)=sin(-52′)=-sin(52′)
cos(-1751°36′)=cos(-5*360°+48°24′)=cos(48°24′)
sin(-26π/3)=sin(-8π - 2π/3)=sin(-2π/3)=-sin(2π/3)=-(根号3)/2