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The general solution of \(\cos (x)-\sin (x)=0\) is
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Verified Answer
The correct answer is:
\(n \pi+\frac{\pi}{4}, n \in Z\)
\(\begin{aligned}
& \cos x-\sin x =0 \\
\Rightarrow & \cos x =\sin x \Rightarrow \tan x=1 \\
\Rightarrow & x =n \pi+\frac{\pi}{4} ;(n \in \mathbf{Z})
\end{aligned}\)
& \cos x-\sin x =0 \\
\Rightarrow & \cos x =\sin x \Rightarrow \tan x=1 \\
\Rightarrow & x =n \pi+\frac{\pi}{4} ;(n \in \mathbf{Z})
\end{aligned}\)
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