A) \[\sqrt{2}\]
B) \[\frac{1}{\sqrt{2}}\]
C) 0
D) 1
Correct Answer: C
Solution :
\[\cos A-\sin A=\cos \frac{5\pi }{4}-\sin \frac{5\pi }{4},\left( \because A=\frac{5\pi }{4} \right)\] \[=-\cos \frac{\pi }{4}+\sin \frac{\pi }{4}=-\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}=0\].
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