Question

Which equation represents a true sine ratio in abc?

1) sina = b/c
2) sina = a/c
3) sina = c/a
4) sina = b/a

Answer 1

The true sine ratio in triangle ABC is represented by the equation 'sina = a/c', meaning the sine of angle A is equal to the length of the side opposite angle A (a) divided by the length of the hypotenuse (c).

Step-by-step explanation:

The question asks which equation represents a true sine ratio in a triangle. To find the sine of an angle in a right-angled triangle, we divide the length of the side opposite the angle by the length of the hypotenuse. Therefore, the correct equation for the sine ratio is sina = opposite/hypotenuse. Given the options,

• 1) sina = b/c
• 2) sina = a/c
• 3) sina = c/a
• 4) sina = b/a

the true sine ratio in triangle ABC is represented by 2) sina = a/c, where side 'a' is opposite the angle 'A', and side 'c' is the hypotenuse of the triangle.