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Multiple Choice
In right triangle , assume the right angle is at . Which expression is equivalent to ?
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1
Identify the sides of the right triangle \( \triangle ABC \) with the right angle at \( C \). The side opposite the right angle \( C \) is the hypotenuse, which is \( AB \).
Recall the definition of sine for an angle in a right triangle: \( \sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}} \).
For angle \( A \), determine which side is opposite to it. Since the right angle is at \( C \), the side opposite angle \( A \) is \( BC \).
Identify the hypotenuse of the triangle, which is the side opposite the right angle \( C \), so the hypotenuse is \( AB \).
Write the expression for \( \sin(A) \) using the opposite side and hypotenuse: \( \sin(A) = \frac{BC}{AB} \).