求函数y=(2-cosx)/sinx的值域
人气:244 ℃ 时间:2019-09-29 16:10:08
解答
值域:(-无穷,-√3]u[√3,+无穷) 解析:y=(2-cosx)/sinx,即:ysinx=2-cosx,所以ysinx+cosx=2,根据公式asinx+bcosx=[√(a^2+b^2)]sin(x+t),其中tant=b/a,所以√(y^2+1)sin(x+t)=2,所以设m=sin(x+t)=2/√(y^2+1),显然...
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