已知sina-2cosa=0 sin2a+sinacosa+3cos2a ( sin2a+sinacosa)/(sin2a+1) (sina+3cosa)/(2sina+5cosa)
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![已知sina-2cosa=0 sin2a+sinacosa+3cos2a ( sin2a+sinacosa)/(sin2a+1) (sina+3cosa)/(2sina+5cosa)](/uploads/image/z/14589363-3-3.jpg?t=%E5%B7%B2%E7%9F%A5sina-2cosa%3D0+sin2a%2Bsinacosa%2B3cos2a+%28+sin2a%2Bsinacosa%29%2F%28sin2a%2B1%29+%28sina%2B3cosa%29%2F%282sina%2B5cosa%29)
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已知sina-2cosa=0 sin2a+sinacosa+3cos2a ( sin2a+sinacosa)/(sin2a+1) (sina+3cosa)/(2sina+5cosa)
已知sina-2cosa=0
sin2a+sinacosa+3cos2a ( sin2a+sinacosa)/(sin2a+1) (sina+3cosa)/(2sina+5cosa)
已知sina-2cosa=0 sin2a+sinacosa+3cos2a ( sin2a+sinacosa)/(sin2a+1) (sina+3cosa)/(2sina+5cosa)
∵sina-2cosa=0,则sina=2cosa ∴tana=2,sina=4/5,cosa=1/5 ∴①sin2a+sinacosa+3cos2a=2sinacosa+sinacosa+3(2cosa-1)=3sinacosa+6cosa-3=12cosa-3=-3/5 ②( sin2a+sinacosa)/(sin2a+1)=3sinacosa/(sina+2sinacosa+cosa)=3tana/(tana+2tana+1)=2/3 ③(sina+3cosa)/(2sina+5cosa)=(tana+3)/(2tana+5)=5/9
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