Number of solution of the equation $| sin x | = sin x + 2 cos x$ in the interval $[0, 2 π]$ is

One

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Two

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Three

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Four

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Solution

The correct option is B Two
$| sin x | = sin x + 2 cos x \Rightarrow$ will hold true when $2 cos x = 0$

So, the solution is $x = \frac{π}{2}, \frac{3 π}{2}$

Hence, number of solution is $2$

Therefore, Answer is $2$

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