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Completion requirements
Determine the primary trigonometric ratios for the right triangle shown.
\(\begin{align}
\sin \theta &= \frac{{{\mathop{\rm opp}\nolimits} }}{{{\mathop{\rm hyp}\nolimits} }} \\
&= \frac{5}{{13}} \\
&= 0.384... \\
\\
\cos \theta &= \frac{{{\mathop{\rm adj}\nolimits} }}{{{\mathop{\rm hyp}\nolimits} }} \\
&= \frac{{12}}{{13}} \\
&= 0.923... \\
\\
\tan \theta &= \frac{{{\mathop{\rm opp}\nolimits} }}{{{\mathop{\rm adj}\nolimits} }} \\
&= \frac{5}{{12}} \\
&= 0.416... \\
\end{align}\)
\sin \theta &= \frac{{{\mathop{\rm opp}\nolimits} }}{{{\mathop{\rm hyp}\nolimits} }} \\
&= \frac{5}{{13}} \\
&= 0.384... \\
\\
\cos \theta &= \frac{{{\mathop{\rm adj}\nolimits} }}{{{\mathop{\rm hyp}\nolimits} }} \\
&= \frac{{12}}{{13}} \\
&= 0.923... \\
\\
\tan \theta &= \frac{{{\mathop{\rm opp}\nolimits} }}{{{\mathop{\rm adj}\nolimits} }} \\
&= \frac{5}{{12}} \\
&= 0.416... \\
\end{align}\)