[Math] Resolving forces into vertical and horizontal components

classical-mechanicsphysics

I have the question "resolve the following forces into their vertical and horizontal components"

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The solutions show that the answer should be:

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I know that trigonometry needs to be used but I am unsure as to how the answer is achieved.

The horizontal force $F_H$ is given as:

$\sin(45) = F_H / 4$ and so $F_H = 4 \times \sin(45) = 2.828...$.

Similarly for the vertical force:

$F_V / 4 = \cos(45)$ and so $F_V = 4 \times \cos(45) = 2.828...$