If $\theta $ is acute, then $180{}^\circ -\theta $ is obtuse. In general, for any acute angle \(

Question

If $\theta $ is acute, then $180{}^\circ -\theta $ is obtuse. In general, for any acute angle $\theta $, $\begin{align} & \, \sin \left( 180{}^\circ -\theta \right)=\sin \theta \ & \cos \left( 180{}^\circ -\theta \right)=-\cos \theta \end{align}$

Accepted Answer

$\sin(180^\circ-\theta)=\sin\theta$ and $\cos(180^\circ-\theta)=-\cos\theta$

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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