(Solved): Establish the identity. \[ \sin (\pi+\theta)=-\sin \theta \] Choose the sequence of steps below th ...

Establish the identity. \[ \sin (\pi+\theta)=-\sin \theta \] Choose the sequence of steps below that verifies the identity. A. \( \sin (\pi+\theta)=\sin \pi \cos \theta-\cos \pi \sin \theta=(0) \cos \theta-(-1) \sin \theta=-\sin \theta \) B. \( \sin (\pi+\theta)=\sin \pi \cos \theta+\cos \pi \sin \theta=(0) \cos \theta+(-1) \sin \theta=-\sin \theta \) C. \( \sin (\pi+\theta)=\cos \pi \cos \theta-\sin \pi \sin \theta=(0) \cos \theta+(0) \sin \theta=-\sin \theta \) D. \( \sin (\pi+\theta)=\cos \pi \cos \theta+\sin \pi \sin \theta=(-1) \cos \theta-(0) \sin \theta=-\sin \theta \)