Question

Which equation correctly represents the law of sines for the angle θ?

A) a/sin(θ) = b/sin(A) = c/sin(B)
B) a/sin(A) = b/sin(θ) = c/sin(B)
C) a/sin(A) = b/sin(B) = c/sin(θ)
D) a/sin(A) = b/sin(B) = c/sin(C)

Answer 1

The law of sines is represented by the equation a/sin(A) = b/sin(B) = c/sin(C), where a, b, c are the sides of the triangle opposite to angles A, B, and C. The correct answer for the equation that represents the law of sines for the angle θ is D) a/sin(A) = b/sin(B) = c/sin(C).

Step-by-step explanation:

The law of sines for a triangle states that the ratio of the length of a side to the sine of its opposite angle is constant for all three sides and angles in a triangle. In other words, if we have a triangle with sides a, b, and c, opposite to angles A, B, and C respectively, the law of sines is represented by the equation:

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

Therefore, the correct answer that represents the law of sines for the angle θ is:

D) a/sin(A) = b/sin(B) = c/sin(C)