计算:sin50°(1+根号3tan10°)=?
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计算:sin50°(1+根号3tan10°)=?
是计算:sin50°(1+根号3×tan10°)=?
是计算:sin50°(1+根号3×tan10°)=?
![计算:sin50°(1+根号3tan10°)=?](/uploads/image/z/15460855-7-5.jpg?t=%E8%AE%A1%E7%AE%97%3Asin50%C2%B0%281%2B%E6%A0%B9%E5%8F%B73tan10%C2%B0%29%3D%3F)
sin50°*(1+根号3×tan10°)
=sin50°*(1+根号3*sin10°/cos10°)
=sin50°/cos10°*(cos10°+根号3*sin10°)
=2*sin50°/cos10°*(1/2*cos10°+根号 3/2*sin10°)
=2*sin50°/cos10°*(sin30°*cos10°
+cos30°*sin10°)
=(2*sin50°/cos10°)* sin40°
=(2*cos40°/cos10°)* sin40°
=(2* sin40°cos40°)/ cos10°
=sin80°/cos10°
=cos10°/cos10°
=1
=sin50°*(1+根号3*sin10°/cos10°)
=sin50°/cos10°*(cos10°+根号3*sin10°)
=2*sin50°/cos10°*(1/2*cos10°+根号 3/2*sin10°)
=2*sin50°/cos10°*(sin30°*cos10°
+cos30°*sin10°)
=(2*sin50°/cos10°)* sin40°
=(2*cos40°/cos10°)* sin40°
=(2* sin40°cos40°)/ cos10°
=sin80°/cos10°
=cos10°/cos10°
=1