求 2sin160°-cos170°-tan160°sin170° 的值
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/09/29 23:26:43
求 2sin160°-cos170°-tan160°sin170° 的值
原式=2sin(180-20)-cos(180-10)-tan(180-20)sin(180-10)
=2sin20+cos10+tan20sin10
=2sin20+cos10+(sin20/cos20)sin10
=2sin20+cos10+sin10sin20/cos20
=2sin20+(cos20cos10+sin10sin20)/cos20
=2sin20+cos(20-10)/cos20
=(2sin20cos20+cos10)/cos20
=(sin40+sin80)/cos20
=[sin(60-20)+sin(60+20)]/cos20
=(sin60cos20-cos60sin20+sin60cos20+cos60sin20)/cos20
=2sin60cos20/cos20
2sin60
=√3
=2sin20+cos10+tan20sin10
=2sin20+cos10+(sin20/cos20)sin10
=2sin20+cos10+sin10sin20/cos20
=2sin20+(cos20cos10+sin10sin20)/cos20
=2sin20+cos(20-10)/cos20
=(2sin20cos20+cos10)/cos20
=(sin40+sin80)/cos20
=[sin(60-20)+sin(60+20)]/cos20
=(sin60cos20-cos60sin20+sin60cos20+cos60sin20)/cos20
=2sin60cos20/cos20
2sin60
=√3
高一三角函数化简求值(1) 2sin160°-cos170°-tan160°sin170°=(2) cot20°cos1
三角函数化简求值cot10°-4cos10°=4cos^2 35°-cos170°-tan160°sin170°=(1+
求 2sin160-cos170-tan160sin170 的值.
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sin160°sin223°+sin253°sin313°=?
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