In a right triangle, the sine of an angle is defined as which ratio?

In a right triangle, the sine of an angle is defined as which ratio?

• A. Opposite over hypotenuse
• B. Adjacent over hypotenuse
• C. Hypotenuse over adjacent
• D. Opposite over adjacent

Answer: (A)

In a right triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse. The opposite side is the one across from the angle, and the hypotenuse is the longest side opposite the right angle. This ratio shows how tall the opposite side is relative to the slanting side of the triangle. For example, if the opposite side is 3 and the hypotenuse is 5, sin is 3/5. The other standard ratios use different pairs of sides: cosine uses the adjacent side over the hypotenuse, and tangent uses the opposite side over the adjacent side.

In a right triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse. The opposite side is the one across from the angle, and the hypotenuse is the longest side opposite the right angle. This ratio shows how tall the opposite side is relative to the slanting side of the triangle. For example, if the opposite side is 3 and the hypotenuse is 5, sin is 3/5. The other standard ratios use different pairs of sides: cosine uses the adjacent side over the hypotenuse, and tangent uses the opposite side over the adjacent side.