cot与csc的关系:(cscθ)^2=1+(cotθ)^2。
三角函数中cotθ=cosθ/sinθ,当θ≠kπ,k∈Z时cotθ=1/tanθ(当θ=kπ,k∈Z时,cotθ不存在)。角A的邻边比上角A的对边。直角三角形任意一锐角的邻边和对边的比,叫做该锐角的余切。
y=cscα=1/sinα,函数性质:定义域:{x|x≠kπ,k∈Z};值域:{y|y≤-1或y≥1};奇偶性:奇函数;周期性:最小正周期为2π;图像渐近线为:x=kπ,k∈Z。一个角的斜边比上对边,这个角的顶点与平面直角坐标系的原点重合,而其始边则与正X轴重合。
y=cotθ:
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y=csc θ:
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扩展资料:
诱导公式
cot(kπ+α)=cotα;cot(π/2-α)=tanα
cot(π/2+α)=-tanα;cot(-α)=-cotα
cot(π+α)=cotα;cot(π-α)=-cotα
半角公式
csca/2=1/(sina/2)=±(2/1-cosa)^1/2=±(2seca/seca-1)^1/2
二倍角公式
csc2a=1/sin2a=1/2sinacosa
参考资料来源:/baike.baidu.com/item/%E4%BD%99%E5%89%B2/9601511?fromtitle=csc&fromid=2675414&fr=aladdin"target="_blank"title="百度百科-余割">百度百科-余割
/baike.baidu.com/item/cot/37020?fr=aladdin"target="_blank"title="百度百科-余切">百度百科-余切