As x increases from $P i / 4$ to $3 P i / 4, | sin (2 x) |$

Always increases

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Always decreases

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Increases then decreases

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Decreases then increases

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Stay constant

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Solution

The correct option is D Decreases then increases
See the diagram :

Here $| sin 2 x |$ is the reflection of negative region of graph about x-axis

From graph, we can see that $| sin 2 x |$ decreases from $π / 4$ to $π / 2$ and then increases from $π / 2$ to $3 π / 4$

$∴$ it decreases and then increases in that interval

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