1)tan(3π-α)/sin(π-α)sin(3/2π-α)+sin(2π-α)cos(α-7/2π)/sin(3/2π+α)cos(2π+α)
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![1)tan(3π-α)/sin(π-α)sin(3/2π-α)+sin(2π-α)cos(α-7/2π)/sin(3/2π+α)cos(2π+α)](/uploads/image/z/8944268-68-8.jpg?t=1%29tan%283%CF%80-%CE%B1%29%2Fsin%28%CF%80-%CE%B1%29sin%283%2F2%CF%80-%CE%B1%29%2Bsin%282%CF%80-%CE%B1%29cos%28%CE%B1-7%2F2%CF%80%29%2Fsin%283%2F2%CF%80%2B%CE%B1%29cos%282%CF%80%2B%CE%B1%29)
1)tan(3π-α)/sin(π-α)sin(3/2π-α)+sin(2π-α)cos(α-7/2π)/sin(3/2π+α)cos(2π+α)
1)tan(3π-α)/sin(π-α)sin(3/2π-α)+sin(2π-α)cos(α-7/2π)/sin(3/2π+α)cos(2π+α)
1)tan(3π-α)/sin(π-α)sin(3/2π-α)+sin(2π-α)cos(α-7/2π)/sin(3/2π+α)cos(2π+α)
原式=-tanα/sinα(-cosα)-sinα(-sinα)/(-cosα)cosα
=(sinα/cosα)/sinαcosα-sin²α/cos²α
=(1-sin²α)/cos²α
=1
tan(3π-α)/sin(π-α)sin(3/2π-α)+sin(2π-α)cos(α-7/2π)/sin(3/2π+α)cos(2π+α)
=tan(-α)/(-sinαcosα)-sin(-α)sinα/(-cosα)cosα
=tanα/(sinαcosα)-sin^2α/cos^α
=1/cos^2α-sin^2α/cos^2α
=cos^2α/cos^2...
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tan(3π-α)/sin(π-α)sin(3/2π-α)+sin(2π-α)cos(α-7/2π)/sin(3/2π+α)cos(2π+α)
=tan(-α)/(-sinαcosα)-sin(-α)sinα/(-cosα)cosα
=tanα/(sinαcosα)-sin^2α/cos^α
=1/cos^2α-sin^2α/cos^2α
=cos^2α/cos^2α
=1
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