Answer:
Explanation:
Given the trigonometric expression:
[tex]\sin \mleft(x+\frac{5\pi}{6}\mright)[/tex]Recall the addition formula for sine below:
[tex]\sin (A+B)=\sin A\cos B+\cos A\sin B[/tex]Therefore:
[tex]\sin \mleft(x+\frac{5\pi}{6}\mright)=\sin x\cos \mleft(\frac{5\pi}{6}\mright)+\cos x\sin \mleft(\frac{5\pi}{6}\mright)[/tex]Next, we can evaluate the trig functions possible:
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