Instructions: select the correct answer from the drop-down menu. in the figure, sin ∠mqp = cos n and sin r sin r and sin n cos n and sin m cos r and sin n .

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 ∠MQP = sin(56) = 0.829cos ∠N = cos(56) = 0.559sin ∠R = sin(34) = 0.559sin ∠N = sin(56) = 0.829cos ∠N = cos(56) = 0.559sin ∠M = sin(90) = 1cos ∠R = cos(34) = 0.828
Based on these findings, it is obvious that sin ∠MQP is equal to cos ∠R and sin ∠N.Thus, the correct choice is "cos R and sin N".