Question

If in QRS, sinR=cosS, what can you conclude about R and S?

A) R and S are complementary angles.
B) R and S are supplementary angles.
C) R and S are congruent angles.
D) R and S are vertical angles.

Answer 1

If sinR equals cosS in a triangle, angles R and S are complementary, meaning they add up to 90 degrees.

Step-by-step explanation:

If in triangle QRS, sinR = cosS, we can conclude that angles R and S are complementary angles. According to trigonometric identities, the sine of an angle is equal to the cosine of its complementary angle. So, if sinR = cosS, then angle R and angle S must add up to 90 degrees, which is the definition of complementary angles.