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Geometry and Trigonometry Difficulty: Medium

In right triangle R S T , the sum of the measures of angle R and angle S is 90 degrees. The value of sinR is 15 4 . What is the value of cosS?

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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 R S T , the sum of the measures of angle R and angle S is 90 degrees. Therefore, angle R and angle S are complementary, and the value of sinR is equal to the value of cosS. It's given that the value of sinR is 154, so the value of cosS is also 154.

Choice A is incorrect. This is the value of tanS.

Choice C is incorrect. This is the value of 1cosS.

Choice D is incorrect. This is the value of 1tanS.