Question

The general solution of $\cos (x)-\sin (x)=0$ is

• A. $n\pi -\frac{\pi }{4},n\in Z$
• B. $2n\pi +\frac{\pi }{4},n\in Z$
• C. $n\pi +\frac{\pi }{4},n\in Z$
• D. $2n\pi -\frac{\pi }{4},n\in Z$

Answer 1

Answer: (C)

$\cos x-\sin x=0$
$\Rightarrow \cos x=\sin x\Rightarrow \tan x=1$
$\Rightarrow x=n\pi +\frac{\pi }{4};(n\in Z)$