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Question

$x comma y element of open square brackets 0 comma blank 2 pi close square brackets$ and $sin invisible function application x plus sin invisible function application y equals 2$ , then the value of $blank x plus y$ is

$π$
$π / 2$
$3 π$
None of these

The correct answer is: $pi$

Since, $x element of open square brackets 02 pi close square brackets$ and $blank y element of open square brackets 0 comma blank 2 pi close square brackets comma$
and $sin invisible function application x plus sin invisible function application y equals 2$
This is possible only, when $sin invisible function application x equals 1$ and $sin invisible function application y equals 1$
$rightwards double arrow x equals pi divided by 2$ and $y equals pi divided by 2$
Hence, $x plus y equals pi$

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