三角函数诱导公式 如果是特殊角请算出来哦
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发布时间:2024-09-30 06:07
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时间:2024-10-14 03:17
1.请将下列三角函数转化为锐角三角函数,...:
解:(1) cos210°=cos(180°+30°)=-cos30°=(-√3/2);
(2) sin263°42'=sin(270°-9°18')=(-cos9°18');
(3) cos(-π/6)=cos(π/6)=(√3/2);
(4) sin(-5π/3)=sin(π/3-2π)=sin[-(2π-π/3)=-sin(2π-π/3)=-(-sinπ/3)=sinπ/3=(√3/2);
(5) cos(-11π/9)=cos(11π/9)=cos(2π-7π/9)=(cos7π/9);
(6) cos(-104°26')=cos(104°26’)=cos(90°+14°26')=(-sin14°26');
(7) tan(632°24')=tan(2*360°-87°36')=(-tan87°36') ;
(8)tan(17π/6)=tan(3π-π/6)=-tan(π/6)=(-√3/3).
注:中间等号是化简过程,最后的等号才是化简结果。