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Geometry and Trigonometry / Right triangles and trigonometry Difficulty: Medium

Triangle $X Y Z$ shown is a right triangle. Which of the following has the same value as $\sin X$ ?

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Explanation

Choice D is correct. The sine of an angle is equal to the cosine of its complementary angle. In the triangle shown, angle $Z$ is a right angle; thus, angles $X$ and $Y$ are complementary angles. Therefore, $\cos Y$ has the same value as $\sin X$ .

Choice A is incorrect and may result from conceptual errors.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.