Question

Consider an oblique triangle ABC. Is the equation sinA/a = b/sinB true for this triangle?

A) True, the equation is always correct for any oblique triangle.
B) True, the equation is correct for right triangles only.
C) False, the equation is never correct for any triangle.
D) True, the equation is correct for equilateral triangles only.

Answer 1

The equation sinA/a = b/sinB is not always true for an oblique triangle. The Law of Sines provides the correct equation for an oblique triangle.

Step-by-step explanation:

The equation sinA/a = b/sinB is not always true for an oblique triangle ABC. This equation is actually an application of the Law of Sines in trigonometry. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. However, for an oblique triangle, the Law of Sines states that sinA/a = sinB/b = sinC/c.

So, while the equation sinA/a = b/sinB is a valid trigonometric equation, it is not true for all oblique triangles.

Therefore, the correct answer is option C) False, the equation is never correct for any triangle.