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Law of Sines

★★★☆☆High School

📖Definition

The Law of Sines states that the ratio of each side length to the sine of its opposite angle is constant in a triangle.

📐Formulas

(a)/(sin A) = (b)/(sin B) = (c)/(sin C) = 2R

Law of Sines (R is circumradius)

✏️Examples

예제 1

In a triangle with A = 30°, B = 45°, and a = 5, find b.

Applications

Surveying

Distance measurement, mapping

Navigation

Ship positioning

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#사인법칙#삼각형#law of sines#triangle