Trigonometric Ratios from Right Triangle Similarity Practice Test

Two right triangles $\triangle ABC$ and $\triangle A'B'C'$ are shown with right angles at $C$ and $C'$ and the same acute angle $\theta$ at $A$ and $A'$. Which relationship depends only on the angle $\theta$ (and not on the triangle size)?

A right triangle $\triangle LMN$ is drawn with the right angle marked at $M$. The hypotenuse is explicitly identified as $\overline{LN}$. The acute angles at $L$ and $N$ are labeled $\alpha$ and $\beta$, respectively. No side lengths are given, and the diagram is not drawn to scale. Which ratio represents $\sin(\beta)$?