根号(1-2sin10°cos10°)/(cos10°-根号1-cos^2170°)

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根号(1-2sin10°cos10°)/(cos10°-根号1-cos^2170°)
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根号(1-2sin10°cos10°)/(cos10°-根号1-cos^2170°)
根号(1-2sin10°cos10°)/(cos10°-根号1-cos^2170°)

根号(1-2sin10°cos10°)/(cos10°-根号1-cos^2170°)
原式=(sin²10+cos²10-2sin10cos10)/[cos10-√sin²170)
=(cos10-sin10)²/(cos10-sin170)
=(cos10-sin10)²/(cos10-sin10)
=cos10-sin10

根号(1-2sin10cos10)/cos10-根号(1-cos^2170)
=根号[(cos10-sin10)^2]/[cos10-根号(sin170)^2]
=(cos10-sin10)/[cos10-sin170]
=(cos10-sin10)/(cos10-sin10)
=1