根号下(1-2sin10°cos10°)除以cos10°-根号下(1-cos^2 10°)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/22 23:43:55
根号下(1-2sin10°cos10°)除以cos10°-根号下(1-cos^210°)根号下(1-2sin10°cos10°)除以cos10°-根号下(1-cos^210°)根号下(1-2sin10

根号下(1-2sin10°cos10°)除以cos10°-根号下(1-cos^2 10°)
根号下(1-2sin10°cos10°)除以cos10°-根号下(1-cos^2 10°)

根号下(1-2sin10°cos10°)除以cos10°-根号下(1-cos^2 10°)
根号下(1-2sin10°cos10°)除以cos10°-根号下(1-cos^2 10°)
=根号下(sin²10°-2sin10°cos10°+cos10°) 除以 cos10°-根号下(sin^2 10°)
=|sin10°-cos10°|/ (cos10°-|sin10°|)
=(cos10°-sin10°)/(cos10°-sin10°)
=1

√(1-2sin10°cos10°)÷[cos10°-√(1-cos^2 10°)]
=√(cos^2 10°+sin^2 10°-2sin10°cos10°)÷[cos10°-√sin^2 10°]
=√(cos 10°-sin10°)^2÷(cos10°-sin^2 10°) (cos 10°>sin10°)
=(cos 10°-sin10°)÷(cos10°-sin^2 10°)
=1