Question

Which equation shows a correct relation for triangle RSQ?

Answer 1

sinQ=cosR

Explanation:

First we need to find out the measure of ∠R.

The sum of all the angles in a triangle add up to 180. Therefore:

∠Q+∠R+∠S=180

66+∠R+90=180

∠R=180-156

∠R=24°

Since ∠Q≠∠R, sinQ≠sinR. So the first option is incorrect - let's try the second one.

sinQ=cosR

sin66=cos24

0.9135454576=0.9135454576

So the second equation is the correct relation.