** Final Answer

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** Step-by-step Solution **

** Specify the solving method

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Calculate the square root of $2$

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Multiply $-1$ times $\sqrt{2}$

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Divide $-\sqrt{2}$ by $2$

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-\frac{\sqrt{2}}{2}$ from both sides of the equation

$x+0=x$, where $x$ is any expression

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We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-\frac{\sqrt{2}}{2}$ from both sides of the equation

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The angles where the function $\sin\left(x\right)$ is $\frac{\sqrt{2}}{2}$ are

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The angles expressed in radians in the same order are equal to

** Final Answer

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