化简1/sin10°-√3/cos10°

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化简1/sin10°-√3/cos10°

化简1/sin10°-√3/cos10°
化简1/sin10°-√3/cos10°

化简1/sin10°-√3/cos10°
1/sin10-√3/cos10
=(cos10-√3sin10)/sin10cos10
=2(1/2*cos10-√3/2*sin10)/sin10cos10
=2(sin30cos10-cos30sin10)/sin10cos10
=4sin(30-10)/2sin10cos10
=4sin20/sin20
=4

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