Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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How is the sine function defined?

hyp/adj
opp/hyp
adj/hyp
opp/adj

The correct answer is: opp/hyp

The sine function is defined as the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. When considering a right triangle and one of its angles, the opposite side is the one directly across from the angle you are referencing, while the hypotenuse is the longest side of the triangle, opposite the right angle. Thus, the sine of an angle is calculated by taking the length of the opposite side and dividing it by the length of the hypotenuse. This trigonometric relationship is fundamental in both geometry and various applications in science and engineering, making it essential to understand the properties and definitions of trigonometric functions.