1/sin10°减去根号3/cos10°,求过程.

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1/sin10°减去根号3/cos10°,求过程.
1/sin10°减去根号3/cos10°,求过程.

1/sin10°减去根号3/cos10°,求过程.
1/sin10°-√3/cos10°
=（cos10°-√3sin10°）/ sin10°cos10°
=2[1/2cos10°-(√3/2)sin10°]/ sin10°cos10°
=2(sin30°cos10°-cos30°sin10°)/ sin10°cos10°
=2sin(30°- 10°)/ sin10°cos10°
=2sin20°/ sin10°cos10°
=2×2sin10°cos10°/ sin10°cos10°
=4

1/sin10°减去根号3/cos10°,
=（cos10-根号3sin10）/sin10cos10
=2(1/2cos10-3^1/2sin10)/(1/2sin20)
=4sin20/sin20
=4

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