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Geometry and Trigonometry Difficulty: Medium
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Triangle XYZ X Y Z shown is a right triangle. Which of the following has the same value as sinXsinX?

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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 ZZ is a right angle; thus, angles XX and YY are complementary angles. Therefore, cosYcosY has the same value as sinXsinX.

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.