The number of solutions of the equation $s i n x = x$ is

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Solution

The correct option is C 1
let $f (x) = x - s i n x$
Now, $f^{'} (x) = 1 - c o s x ⩾ 0$
Hence, $f (x)$ is an increasing function
$f (0) = 0$ .
Hence, the equation has only 1 root.

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