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若cos2x/sin(x-π/4)=-根号2/2,sin2x=?
人气:385 ℃ 时间:2019-10-19 23:30:42
解答
cos2x/sin(x-π/4)=sin(π/2-2x)/sin(x-π/4)=-sin(2x-π/2)/sin(x-π/4)=-2sin(x-π/4)cos(x-π/4)/sin(x-π/4)=-2cos(x-π/4)=-根号2/2则cos(x-π/4)=√2/4sin(2x)=cos(π/2-2x)=cos(2x-π/2)=2cos²(...
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