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已知tan(3π+α)=根号三,α∈﹙0,π/2﹚求值
1:cos﹙π+α﹚
2:sin﹙3π+α﹚
人气:331 ℃ 时间:2020-09-05 18:49:02
解答
tan(3π+α)=√3,则tanα=√3 [说明:正切函数的周期是π]
α∈﹙0,π/2﹚
α=π/3
cos﹙π+α﹚
=-cosα
=-cosπ/3
=-1/2
sin﹙3π+α﹚
=-sinα
=-sinπ/3
=-√3 /2
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