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<p style="text-align: center">If $\theta $ is acute, then $180{}^\circ -\theta $ is obtuse.
</p>
<p style="text-align: center">In general, for any acute angle $\theta $,

</p>
<p style="text-align: center">$\begin{align}
  & \, \sin \left( 180{}^\circ -\theta  \right)=\sin \theta  \\ 
 & \cos \left( 180{}^\circ -\theta  \right)=-\cos \theta   
\end{align}$</p>

If $\theta $ is acute, then $180{}^\circ -\theta $ is obtuse.


In general, for any acute angle $\theta $,



$\begin{align}
  & \, \sin \left( 180{}^\circ -\theta  \right)=\sin \theta  \\ 
 & \cos \left( 180{}^\circ -\theta  \right)=-\cos \theta   
\end{align}$

Conceptual Bridging: Relationship between Trigonometric Ratios of Acute and Obtuse Angles

Conceptual Bridging: Relationship between Trigonometric Ratios of Acute and Obtuse Angles

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