已知5根号3sinα+5cosα=6根号2sinβ+根号6cosβ=1,且α∈(0,π/3),β∈(π/6,π/2),求
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已知5根号3sinα+5cosα=6根号2sinβ+根号6cosβ=1,且α∈(0,π/3),β∈(π/6,π/2),求cos(α+β)的值
![已知5根号3sinα+5cosα=6根号2sinβ+根号6cosβ=1,且α∈(0,π/3),β∈(π/6,π/2),求](/uploads/image/z/18500327-71-7.jpg?t=%E5%B7%B2%E7%9F%A55%E6%A0%B9%E5%8F%B73sin%CE%B1%2B5cos%CE%B1%3D6%E6%A0%B9%E5%8F%B72sin%CE%B2%2B%E6%A0%B9%E5%8F%B76cos%CE%B2%3D1%2C%E4%B8%94%CE%B1%E2%88%88%280%2C%CF%80%2F3%29%2C%CE%B2%E2%88%88%28%CF%80%2F6%2C%CF%80%2F2%29%2C%E6%B1%82)
5根号3sinα+5cosα = 10 sin(α + pai/6) =1
sin(α + pai/6) = 1/10
α = arcsin(1/10) - pai/6
你确定α∈(0,π/3)吗?
6根号2sinβ+根号6cosβ= 根号(78)sin(β+T) = 1,T = arctan 根号(3)/6
sin(α + pai/6) = 1/10
α = arcsin(1/10) - pai/6
你确定α∈(0,π/3)吗?
6根号2sinβ+根号6cosβ= 根号(78)sin(β+T) = 1,T = arctan 根号(3)/6
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