A
B
C
D
Explanation
Correct answer: B.
Choice B is correct. The sine of any acute angle is equal to the cosine of its complement. It's given that in right triangle , the sum of the measures of angle and angle is degrees. Therefore, angle and angle are complementary, and the value of is equal to the value of . It's given that the value of is , so the value of is also .
Desmos solution:
Note: Since R and S are complementary, cos(S)=sin(R), so the calculator’s value corresponds to the given exact fraction.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the value of .
Choice C
Choice C is incorrect. This is the value of .
Choice D
Choice D is incorrect. This is the value of .