If $m$ and $n (n > m)$ are positive integers, the number of solutions of equation $n | sin x | = m | cos x |$ in $[0, 2 π]$ is

m

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n

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m n

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None of these

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Solution

The correct option is C None of these
If $m$ and $n$ ( $n > m$ ) are positive numbers,
Plotting the curves for $y = n | sin x |$ and $y = m | cos x |$ , we found out that these intersect at $4$ points in $[0, 2 π]$ .
Hence, option D.

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