RST In right triangle, the sum of the measures of angle R and angle S is 90 degrees. The value of sin(R) cos(S) is 15/4. What is the value of?
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
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 RST, the sum of the measures of 90 angle R and angle S is degrees. Therefore, angle R and angle S are sin cos complementary, and the value of R is equal to the value of S. It’s given that sin 15 cos 15 the value of R is 4 , so the value of S is also 4 . tan Choice A is incorrect. This is the value of S. Choice C is incorrect. This is the 1 1 value of cos . Choice D is incorrect. This is the value of tan . S S
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