The value of A - A when A = 5 4 , is - Vidyadip

MCQ

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

A
$\sqrt 2 $
B
$\frac{1}{{\sqrt 2 }}$
✓
$0$
D
$1$

✓

Answer

Correct option: C.

$0$

c
(c) $\cos A - \sin A = \cos \frac{{5\pi }}{4} - \sin \frac{{5\pi }}{4},\left( \because {A = \frac{{5\pi }}{4}} \right)$

$ = - \cos \frac{\pi }{4} + \sin \frac{\pi }{4} = - \frac{1}{{\sqrt 2 }} + \frac{1}{{\sqrt 2 }} = 0$.

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