Final answer:
In the Law of Sines, a/sinA represents the ratio of side a to the sine of angle A. This ratio is constant for all sides and opposite angles in the triangle.
Step-by-step explanation:
In the context of the Law of Sines, the expression a/sinA represents the ratio of the length of side a to the sine of the angle opposite that side, angle A. This law states that in any triangle (not just a right triangle), the ratio of the length of a side to the sine of the angle opposite that side is equal for all three sides and angles in the triangle. It is mathematically represented as:
a/sinA = b/sinB = c/sinC
Where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the opposite angles, respectively. The correct answer to the question "What does a/sinA represent in the Law of Sines?" is option a) Side a divided by the sine of angle A. This ratio can be used to solve for unknown sides or angles in a triangle when some other measurements in the triangle are known.