The value of cos A - sin A when A = frac{5pi} | vedclass

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(C) Given $A = \frac{5\pi}{4}$.We need to find the value of $\cos A - \sin A$.$\cos\left(\frac{5\pi}{4}\right) - \sin\left(\frac{5\pi}{4}\right) = \co

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(C) Given $A = \frac{5\pi}{4}$.We need to find the value of $\cos A - \sin A$.$\cos\left(\frac{5\pi}{4}ight) - \sin\left(\frac{5\pi}{4}ight) = \cos\left(\pi + \frac{\pi}{4}ight) - \sin\left(\pi + \frac{\pi}{4}ight)$.Since $\cos(\pi + 	heta) = -\cos 	heta$ and $\sin(\pi + 	heta) = -\sin 	heta$,we have:$= -\cos\left(\frac{\pi}{4}ight) - (-\sin\left(\frac{\pi}{4}ight))$$= -\frac{1}{\sqrt{2}} + \frac{1}{\sqrt{2}} = 0$.

The value of $\cos A - \sin A$ when $A = \frac{5\pi}{4}$ is

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