The easiest way to get this problem correctly is by calculating the sines and cosines of all the angles in the choices then choosing the correct choice.
sin <span>∠MQP = sin(56) = 0.829 cos </span><span>∠N = cos(56) = 0.559 sin </span><span>∠R = sin(34) = 0.559 sin </span><span>∠N = sin(56) = 0.829 cos </span><span>∠N = cos(56) = 0.559 sin </span><span>∠M = sin(90) = 1 cos </span><span>∠R = cos(34) = 0.828
Based on these findings, it is obvious that sin </span>∠MQP is equal to cos ∠R and sin <span>∠N. Thus, the correct choice is "d".</span>
