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证明sec x+tanx=tan(π/4 +x/2)
人气:133 ℃ 时间:2020-03-28 01:55:40
解答
sec x+tanx=1/cosx+sinx/cosx=(1+sinx)/cosxtan(π/4 +x/2)=[tanπ/4+tan(x/2)]/[1-tan(x/2)]=[1+tan(x/2)]/[1-tan(x/2)]=[(cos(x/2)+sin(x/2)]/[(cos(x/2)-sin(x/2)]=[(cos(x/2)+sin(x/2)]²/[(cos(x/2)-sin(x/...
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