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问题: 三角变换问题,急!

若cos2α/sin(α-π/4)=-√2/2 求cosa+sina
详解

解答:

若cos2α/sin(α-π/4)=-√2/2 求cosa+sina

 cos2α/sin(α-π/4)
= -sin(2α-π/2)/sin(α-π/4)
= -2cos(α-π/4)
= -√2(cosα+sinα)
= -√2/2

--->cosα+sinα = 1/2