trigonometry
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2012-10-27 6:32 am
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參考: pingshek
2012-10-27 1:43 pm
Express Secθ+Cotθ in terms of Sinθ，wereπ< θ < 3π/2
Sol
π< θ < 3π/2
Cosθ<0
Secθ+Cotθ
=1/Coθw+Cosθ/Sinθ
=(Sinθ+Cos^2 θ)/(SinθCosθ)
=(Sinθ+1－Sin^2 θ)/[－Sinθ√(1－Sin^2 θ)]
=(Sin^2 θ－Sinθ－1)/[Sinθ√(1－Sin^2 θ)]
Sol
π< θ < 3π/2
Cosθ<0
Secθ+Cotθ
=1/Coθw+Cosθ/Sinθ
=(Sinθ+Cos^2 θ)/(SinθCosθ)
=(Sinθ+1－Sin^2 θ)/[－Sinθ√(1－Sin^2 θ)]
=(Sin^2 θ－Sinθ－1)/[Sinθ√(1－Sin^2 θ)]
收錄日期: 2021-05-02 10:44:16
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