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sin(π/3+1/2arctan(-2根号2))=?速求
题目详情
sin(π/3+1/2arctan(-2根号2))=?速求
▼优质解答
答案和解析
设 x = arctan(-2√2) 则 tanx = -2√2 ,x∈(-π/2,0)tanx = 2tan(x/2) / [1 - tan²(x/2) ] = - 2√2解得 tan(x/2) = √2 或 tan(x/2) = -1/√2∵x∈(π/2,0) ,x/2 ∈(π/4,0),tan(x/2)
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