化简sin40度(tan10度减根号3)跪求

学习 时间:2026-08-15 06:45:58 阅读:9741
化简sin40度(tan10度减根号3)跪求

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碧蓝的煎饼

冷静的白昼

2026-08-15 06:45:58

sin40°(tan10°-√3)=sin40°(sin10°/cos10°-√3)=sin40°(sin10°-√3cos10°)/cos10°=2sin40°[sin10°cos60°-cos10°sin60°]/cos10°=2sin40*sin(-50°)/cos10°=-2sin40°cos40°/cos10°=-sin80°/cos10°=-1

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  • 微笑的酒窝
    回复
    2026-08-15 06:45:58

    sin40°(tan10°-√3)=sin40°(sin10°/cos10°-√3)=sin40°(sin10°-√3cos10°)/cos10°=2sin40°[sin10°cos60°-cos10°sin60°]/cos10°=2sin40*sin(-50°)/cos10°=-2sin40°cos40°/cos10°=-sin80°/cos10°=-1

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