Trigonometry Identities - Sum/Difference to Identity (Radians)

Question

Complete the sum/difference identity for this expression

$$	ext{sin}{(\frac{5\pi}{4} + \frac{\pi}{4})}$$

Accepted Answer

$$=	ext{sin}{(\frac{5\pi}{4})}	ext{cos}{(\frac{\pi}{4})} + 	ext{cos}{(\frac{5\pi}{4})}	ext{sin}{(\frac{\pi}{4})}$$

Answer

$$=	ext{sin}{(\frac{5\pi}{4})}	ext{cos}{(\frac{\pi}{4})} - 	ext{cos}{(\frac{5\pi}{4})}	ext{sin}{(\frac{\pi}{4})}$$