(tan10°-根号3)×cos10°÷sin50°

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(tan10°-根号3)×cos10°÷sin50°

(tan10°-根号3)×cos10°÷sin50°
(tan10°-根号3)×cos10°÷sin50°

(tan10°-根号3)×cos10°÷sin50°
=[sin10°/cos10°-√3]cos10°/sin50°
=[sin10°-√3cos10°]/sin50°
=2[sin10°cos60°-cos10°sin60°]/sin50°
=2sin(10°-60°)/sin50°
=-2

原式=(sin10°- 根号3 ×cos10°)÷sin50°
=2×sin(10°-60°)÷sin50°
= -2