In a right triangle, which ratio defines sine?

Study for the Honors Mathematics 3 Exam. Engage with comprehensive flashcards and multiple choice questions, each with detailed explanations. Prepare and excel in your exam journey!

Multiple Choice

In a right triangle, which ratio defines sine?

Explanation:
Sine measures, for a given acute angle in a right triangle, the ratio of the length of the side opposite the angle to the length of the hypotenuse. To use it, identify the side across from the angle (the opposite) and the longest side (the hypotenuse). Then sin(angle) = opposite/hypotenuse. The other standard ratios relate to different side pairs: cosine is adjacent over hypotenuse, tangent is opposite over adjacent, and secant is hypotenuse over adjacent. So the sine ratio is opposite divided by the hypotenuse.

Sine measures, for a given acute angle in a right triangle, the ratio of the length of the side opposite the angle to the length of the hypotenuse. To use it, identify the side across from the angle (the opposite) and the longest side (the hypotenuse). Then sin(angle) = opposite/hypotenuse. The other standard ratios relate to different side pairs: cosine is adjacent over hypotenuse, tangent is opposite over adjacent, and secant is hypotenuse over adjacent. So the sine ratio is opposite divided by the hypotenuse.

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