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已知sinB=msin(2x+B)且x+B≠kπ+π/2,(k∈z),x≠kπ/2 (k∈z),m≠1.求证:tan(x+B)=(1+m/1-m)t
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人气:218 ℃ 时间:2020-04-08 16:49:57
解答
已知sinB=msin(2x+B)且x+B≠kπ+π/2,(k∈z),x≠kπ/2 (k∈z),m≠1.求证:tan(x+B)=[(1+m)/(1-m)]tanx证明:∵sinB=msin(2x+B),∴m=sinB/sin(2x+B)故(1+m)/(1-m)=[1+sinB/sin(2x+B)]/[1-sinB/sin(2x+B)]=[sin(...
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