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tan(π/2 + α)
=sin(π/2+α)/cos(π/2+α)
=sin[π/2-(-α)]/cos[π/2-(-α)]
=cos(-α)/sin(-α) 注:sin(90°-θ)=cosθ, cos(90°-θ)=sinθ
=cosα/(-sinα) 注:sin(-θ)=-sinθ, cos(-θ) = cosθ
=-1/(sinα/cosα) 分子、分母同除以 cosα
=-1/tanα
tan(π/2 - α)
=sin(π/2-α)/cos(π/2-α)
=cosα/sinα
=1/(sinα/cosα)
=1/tanα
=sin(π/2+α)/cos(π/2+α)
=sin[π/2-(-α)]/cos[π/2-(-α)]
=cos(-α)/sin(-α) 注:sin(90°-θ)=cosθ, cos(90°-θ)=sinθ
=cosα/(-sinα) 注:sin(-θ)=-sinθ, cos(-θ) = cosθ
=-1/(sinα/cosα) 分子、分母同除以 cosα
=-1/tanα
tan(π/2 - α)
=sin(π/2-α)/cos(π/2-α)
=cosα/sinα
=1/(sinα/cosα)
=1/tanα
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