摘要:4.已知2sin2α-sinαcosα+5cos2α=3.则tanα的值是 ( ) A.1 B.-2 C.1或-2 D.-1或2 解析:由2sin2α-sinαcosα+5cos2α=3.得 sin2α+sinαcosα-2cos2α=0. 即tan2α+tanα-2=0. 解之得tanα=1或tanα=-2. 答案:C

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