sat suite question viewer

Geometry and Trigonometry / Right triangles and trigonometry Difficulty: Medium

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

Back question 45 of 54 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54

Explanation

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

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.