Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版：英文原文完整保留，中文紧随对应单元；术语采用 v20260916 确认表，自动语义审校结果可追溯。

Law of Sines

正弦定律
The law of sines is used to find angles of a general triangle. If two sides and the enclosed angle are known, it can be used in conjunction with the law of cosines to find the third side and the other two angles.
Click on the highlighted text for either angle A or angle C to initiate calculation.
点击高亮的文本以启动计算， either angle A 或 angle C。
 If two sides and the angle opposite one of them are specified, then the angle opposite the other can be calculated. The third angle is then determined by the fact that the sum of the interior angles of a triangle must equal to 180 degrees.
Side a
侧面a
=
Side b
侧面b
=
Angle B
角B
=
Angle A
角A
=
Angle C
角C
=
After doing the above calculation, the length of side c may be determined with the aid of the law of cosines.
在完成上述计算后，可以通过余弦定律确定边c的长度。
Side c
边c
=
如果已知两边及其中一边的对角，则可以计算出另一边的对角。第三个角则由三角形内角和为180度这一事实确定。
中文译文中的待填/计算数值依次对应：1：a 2：b 3：ab 4：aa 5：ac 6：c。实际数值以上方原输入框为准。

Applications

应用
正弦定律用于求解一般三角形的角。如果已知两边及其夹角，可以结合余弦定律求出第三边和其他两个角。
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索引
 
HyperPhysics*****HyperMath*****Trigonometry
HyperPhysics ***** HyperMath ***** 三角学
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Applications, Law of Sines

应用，正弦定律

The law of sines has application to vector quantities:

正弦定律适用于矢量量：

It has application along with the law of cosines to the problem of the heading angle for an aircraft in the wind.

它可与余弦定理结合应用于飞机在风中的航向角问题。
 Index
索引
 
HyperPhysics*****HyperMath*****Geometry
HyperPhysics ***** HyperMath ***** 几何
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