A
B
C
D
Explanation
Correct answer: D.
Choice D is correct. The sine of an angle is equal to the cosine of its complementary angle. In the triangle shown, angle is a right angle; thus, angles and are complementary angles. Therefore, has the same value as .
Desmos solution:
Note: Since X and Y are complementary, sin X equals cos Y.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual errors.
Choice B
Choice B is incorrect and may result from conceptual errors.
Choice C
Choice C is incorrect and may result from conceptual errors.