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Maths-

General

Easy

Question

The number of values of $y blank$ in $blank open square brackets negative 2 pi comma blank 2 pi close square brackets$ satisfying the equation $open vertical bar sin invisible function application 2 x close vertical bar plus open vertical bar cos invisible function application 2 x close vertical bar equals open vertical bar sin invisible function application y close vertical bar$ is

3
4
5
6

The correct answer is: 4

Here $1 less or equal than open vertical bar sin invisible function application 2 x close vertical bar plus open vertical bar cos invisible function application 2 x close vertical bar less or equal than square root of 2$ and $blank open vertical bar sin invisible function application y close vertical bar less or equal than 1$
So solution is possible only when $open vertical bar sin invisible function application y close vertical bar equals 1$
$rightwards double arrow sin invisible function application y equals plus-or-minus 1 blank rightwards double arrow y equals plus-or-minus fraction numerator pi over denominator 2 end fraction comma plus-or-minus fraction numerator 3 pi over denominator 2 end fraction$

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