The function $f(x)=\sin x-\cos x$ is ........
The function $f(x)=\sin x-\cos x$ is ........
- Odd function
- Even function
- Neither even nor odd function
- $f(x)$ is not a function
Solution
$
\text { } \begin{aligned}
f(x) & =\sin x-\cos x \\
f(-x) & =\sin (-x)-\cos (-x) \\
f(-x) & =-\sin x-\cos x \\
f(-x) & =-(\sin x+\cos x) \\
f(-x) & \neq f(x)
\end{aligned}
$
$\therefore f(x)$ is neither even nor odd function.
Hence, option (3) is correct
Asked in: AP EAMCET 2020 (22 Sep Shift 2)
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