1.已知cotα=-13/5,且α为第二象限角,求sin(8π+α)2.求值:tan(2π+π/4)+tan(4+π/4)+tan(6+π/4)+······+tan(2010+π/4)注:第二题少了几个π

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1.已知cotα=-13/5,且α为第二象限角,求sin(8π+α)2.求值:tan(2π+π/4)+tan(4+π/4)+tan(6+π/4)+······+tan(2010+π/4)注:第二题少了几个π
1.已知cotα=-13/5,且α为第二象限角,求sin(8π+α)
2.求值:tan(2π+π/4)+tan(4+π/4)+tan(6+π/4)+······+tan(2010+π/4)
注:第二题少了几个π

1.已知cotα=-13/5,且α为第二象限角,求sin(8π+α)2.求值:tan(2π+π/4)+tan(4+π/4)+tan(6+π/4)+······+tan(2010+π/4)注:第二题少了几个π
搞定~

1. 5/√194=0.359
2. -880.918

1.cota=cosa/sina=-13/5,所以cosa=-13/5sina
带入sin^2 a+cos^2 a=1,解得sina=25/194的开方。sin(8π+a)=sina
2.tan(2kπ+a)=tana,所以答案=1*2010=2010