α是第三象限角:f(α)=[sin(π-α)cos(2π-α)tan(-α+((3π)/2))]/[cot(-α-π)sin(-π-α])1.化简f(α)2.若cos(α-((3π)/2)π)=1/5 求f(a)3.若α=-1860°,求f(α)
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![α是第三象限角:f(α)=[sin(π-α)cos(2π-α)tan(-α+((3π)/2))]/[cot(-α-π)sin(-π-α])1.化简f(α)2.若cos(α-((3π)/2)π)=1/5 求f(a)3.若α=-1860°,求f(α)](/uploads/image/z/2546350-70-0.jpg?t=%CE%B1%E6%98%AF%E7%AC%AC%E4%B8%89%E8%B1%A1%E9%99%90%E8%A7%92%EF%BC%9Af%28%CE%B1%29%3D%5Bsin%28%CF%80-%CE%B1%29cos%282%CF%80-%CE%B1%29tan%28-%CE%B1%2B%EF%BC%88%EF%BC%883%CF%80%EF%BC%89%2F2%EF%BC%89%29%5D%2F%5Bcot%28-%CE%B1-%CF%80%29sin%28-%CF%80-%CE%B1%5D%291.%E5%8C%96%E7%AE%80f%28%CE%B1%292.%E8%8B%A5cos%28%CE%B1-%28%283%CF%80%EF%BC%89%2F2%EF%BC%89%CF%80%EF%BC%89%3D1%2F5+%E6%B1%82f%28a%293.%E8%8B%A5%CE%B1%3D-1860%C2%B0%2C%E6%B1%82f%28%CE%B1%29)
α是第三象限角:f(α)=[sin(π-α)cos(2π-α)tan(-α+((3π)/2))]/[cot(-α-π)sin(-π-α])1.化简f(α)2.若cos(α-((3π)/2)π)=1/5 求f(a)3.若α=-1860°,求f(α)
α是第三象限角:f(α)=[sin(π-α)cos(2π-α)tan(-α+((3π)/2))]/[cot(-α-π)sin(-π-α])
1.化简f(α)
2.若cos(α-((3π)/2)π)=1/5 求f(a)
3.若α=-1860°,求f(α)
α是第三象限角:f(α)=[sin(π-α)cos(2π-α)tan(-α+((3π)/2))]/[cot(-α-π)sin(-π-α])1.化简f(α)2.若cos(α-((3π)/2)π)=1/5 求f(a)3.若α=-1860°,求f(α)
(1)f(α)=[sin(π-α)cos(2π-α)tan(-α+((3π)/2))]/[cot(-α-π)sin(-π-α])
=(sinacosacota)/(-cotasina)=-cosa
(2)cos(α-((3π)/2)π)=1/5 即cosa=-1/5,所以f(a)=1/5
(3)α=-1860°=-1800°-60°,所以f(α)=-cos(-60°)=-cos60°=-1/2
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