(1/sin10)-(√3/cos10)

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(1/sin10)-(√3/cos10)(1/sin10)-(√3/cos10)(1/sin10)-(√3/cos10)1/sin10°)-(√3)/cos10°=(cos10°)-(√3)sin10

(1/sin10)-(√3/cos10)
(1/sin10)-(√3/cos10)

(1/sin10)-(√3/cos10)
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