求值:1/sin50°+根号3/cos50°

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求值:1/sin50°+根号3/cos50°
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求值:1/sin50°+根号3/cos50°
求值:1/sin50°+根号3/cos50°

求值:1/sin50°+根号3/cos50°
1/sin50°+√3/cos50°
=(√3sin50°+cos50°)/(sin50°cos50°)
=4sin(50°+30°)/sin100°
=4sin80°/sin100°
=4sin(180°-100°)/sin100°
=4sin100°/sin100°
=4

4

原 式=2*((1/2) /sin50 + (sqrt(3)/2)/cos50)=2*(sin30/sin50 + cos30/cos50)=4*(sin80/sin100)=4*((sin90*cos10-cos90*sin10) /(sin90*cos10+cos90*sin10))=4*(cos10/cos10)=4