若cos2x/sin(x-兀)=-(√2)/2,则cosx+sinx的值为A.-(√7)/2 B.-1/2 C.1/2 D.(√7)/2为什么?

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若cos2x/sin(x-兀)=-(√2)/2,则cosx+sinx的值为A.-(√7)/2 B.-1/2 C.1/2 D.(√7)/2为什么?
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若cos2x/sin(x-兀)=-(√2)/2,则cosx+sinx的值为A.-(√7)/2 B.-1/2 C.1/2 D.(√7)/2为什么?
若cos2x/sin(x-兀)=-(√2)/2,则cosx+sinx的值为
A.-(√7)/2 B.-1/2 C.1/2 D.(√7)/2
为什么?

若cos2x/sin(x-兀)=-(√2)/2,则cosx+sinx的值为A.-(√7)/2 B.-1/2 C.1/2 D.(√7)/2为什么?
cos2x/sinx=(√2)/2
cos2x=cos^x-sin^x
2sin^x+(√2)/2sinx-1=0
进而可以求出sinx的值
然后可以求出cosx值