求值:

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求值:求值: 求值:1/sin10°)-(√3)/cos10°=(cos10°)-(√3)sin10°)/(sin10°×cos10°)=2(1/2cos10°-(√3)/2sin10°))

求值:
求值:
 

求值:
1/sin10°)-(√3)/cos10°
=(cos10°)-(√3)sin10°)/(sin10°×cos10°)
=2(1/2 cos10°-(√3)/2 sin10°))/(sin10°×cos10°
=2(sin30°cos10°-cos30°sin10°)/(sin10°×cos10°)
=2sin20°/(sin10°×cos10°)
=4sin20°/(2sin10°×cos10°)
=4sin20°/sin20°
=4