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

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Multiple Choice

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

Explanation:
In a right triangle, the sine of an angle is the ratio of the length of the side opposite that angle to the length of the hypotenuse (the side opposite the right angle, which is the longest side). So sine = opposite / hypotenuse. This makes the sine value always between 0 and 1 for angles between 0° and 90°. For context, the other standard ratios are cosine = adjacent / hypotenuse and tangent = opposite / adjacent, while the reciprocal of sine is cosecant = hypotenuse / opposite.

In a right triangle, the sine of an angle is the ratio of the length of the side opposite that angle to the length of the hypotenuse (the side opposite the right angle, which is the longest side). So sine = opposite / hypotenuse. This makes the sine value always between 0 and 1 for angles between 0° and 90°.

For context, the other standard ratios are cosine = adjacent / hypotenuse and tangent = opposite / adjacent, while the reciprocal of sine is cosecant = hypotenuse / opposite.

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