已知角α的终边在直线y = - 2x 上,试求角α的各三角函数值.

已知角α的终边在直线y = - 2x 上,试求角α的各三角函数值.

答案

同解析


解析:

∵直线y = - 2x经过第二、四象限,所以应分两种情况讨论

       (1)当α终边在第二象限时,设P(a,-2a),(a<0)

             

       ∴

        

       (2)当α终边在第四象限时,设P(a,-2a),(a>0)

             

       ∴

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