csc、cot、sec与sin、cos、tan有啥关系?

Jan11

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csc、cot、sec与sin、cos、tan有啥关系?

csc、cot、sec与sin、cos、tan有啥关系?  sin  _  cos    \/ tan _ 1 _ cot   \/\/   sec csc 对角线:sinθ = 1/cscθ ,cscθ = 1/sinθ     cosθ = 1/secθ ,secθ = 1/cosθ     tanθ = 1/cotθ ,cotθ = 1/tanθ 三角形:sin2θ + cos2θ = 1     tan2θ + 1 = sec2θ     cot2θ + 1 = csc2θ 顺时钟:tanθ = sinθ/cosθ ,sinθ = cosθ/cotθ ,cosθ = cotθ/cscθ     cotθ = cscθ/secθ ,cscθ = secθ/tanθ ,secθ = tanθ/sinθ 逆时钟:tanθ = secθ/cscθ ,secθ = cscθ/cotθ ,cscθ = cotθ/cosθ     cotθ = cosθ/sinθ ,cosθ = sinθ/tanθ ,sinθ = tanθ/secθ
它们是倒数的关系 1/sinx = cscx 1/cosx = secx 1/tanx = cotx
参考: myself
csc α =1/sin α cot α =1/tan α sec α=1/cos α 1+cot^2 α=sec^2 α 1+tan^2 α=csc^2 α cot α=sec α /csc α tan α=sin α /cos α
参考: ME