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急(1)4sin54°-5cos36°+根号2sin45°-根号(cos36°-1)方;(2)cos方31°+cos方59°/tan59°×tan31°+tan60°.
题目详情
急
(1)4sin54°-5cos36°+根号2sin45°-根号(cos36°-1)方;
(2)cos方31°+cos方59°/tan59°×tan31°+tan60°.
(1)4sin54°-5cos36°+根号2sin45°-根号(cos36°-1)方;
(2)cos方31°+cos方59°/tan59°×tan31°+tan60°.
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答案和解析
(1)4sin54°-5cos36°+根号2*sin45°-根号(cos36°-1)方;
=4sin54°-5cos36°+根号2*sin45°-根号(cos36°-1)方
=4cos36°-5cos36°+1-1+cos36°
=0
(2)cos方31°+cos方59°/(tan59°×tan31°)+ tan60°
= cos方31°+cos方59°/(tan59°×cot59°)+ tan60°
=cos方31°+cos方59°+ tan60°
=cos方31°+sin方31°+ tan60°
=1+√3
=4sin54°-5cos36°+根号2*sin45°-根号(cos36°-1)方
=4cos36°-5cos36°+1-1+cos36°
=0
(2)cos方31°+cos方59°/(tan59°×tan31°)+ tan60°
= cos方31°+cos方59°/(tan59°×cot59°)+ tan60°
=cos方31°+cos方59°+ tan60°
=cos方31°+sin方31°+ tan60°
=1+√3
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