Question

Given the triangle shown here, the first steps in the proof of the law of sines are:

A. Set sinA = b/k and sinB = k/a and solve for k in both equations.
B. Set sinA = k/b and sinB = a/k and solve for k in both equations.
C. Set sinA = -k/b and sinB = -k/a and solve for k in both equations.
D. Set sinA = k/b and sinB = k/a and solve for k in both equation.

Answer 1

Based on the given figure above, if you look at the right triangles, for angle A, b would be the hypotenuse and for angle B, a would be the hypotenuse in both triangles, k would be the opposite side. Base on this, we can conclude that the correct answer would be the last option or option D. Hope this answer helps.