Which formula represents the Law of Sines?

The Law of Sines is a fundamental principle in trigonometry that relates the angles and sides of a triangle. The correct formula, which states that the ratio of the sine of each angle to the length of the opposite side is constant, is represented as sinA/a = sinB/b = sinC/c.

This equation demonstrates that for any triangle, the relationship holds true regardless of the triangle's type (acute, obtuse, or right-angled). It allows for the calculation of unknown angles or sides when sufficient information is provided. In contrast, the other options represent different mathematical concepts.

For example, the equation indicating a linear relationship (a + b = c) applies specifically to certain cases in right triangles, particularly the relationship between two sides and the hypotenuse in a right triangle context, but does not encompass the broader conditions needed for all triangles.

The equation relating the squares of sides (c² = a² + b²) is a specific case known as the Pythagorean theorem, valid only in right triangles. Lastly, the relationship of tangent (tanA = sinA/cosA) describes the tangent function and is unrelated to the relationships between the angles and sides of a triangle as depicted in the