Perbandingan Y (max) dan X (max)

\begin{equation*}
\begin{split}
\frac {y_{\text{max}}}{x_{\text{max}}} & = \frac {\dfrac{v_o^2 \:.\: \sin^2 \alpha}{2g}}{ \dfrac{v_o^2 \:.\: \sin 2 \alpha}{g}}  \\\\
\frac {y_{\text{max}}}{x_{\text{max}}} & = \frac {\dfrac{\cancel {v_o^2} \:.\: \cancel{\sin^2 \alpha}}{2 \cancel{g}}}{ \dfrac{\cancel {v_o^2} \:.\: 2 \:.\: \cancel{\sin \alpha} \:.\: \cos \alpha}{\cancel{g}}}  \\\\
\frac {y_{\text{max}}}{x_{\text{max}}} & = \frac{\sin \alpha}{4 \:.\: \cos \alpha} \\\\
\frac {y_{\text{max}}}{x_{\text{max}}} & = \frac{\sin 45^{\text{o}}}{4 \:.\: \cos 45^{\text{o}}} \\\\
\frac {y_{\text{max}}}{x_{\text{max}}} & = \frac{\cancel {\frac 12 \sqrt{2}}}{4 \:.\: \cancel {\frac 12 \sqrt{2}}} \\\\
\frac {y_{\text{max}}}{x_{\text{max}}} & = \frac 14
\end{split}
\end{equation*}