How do you find the percentage uncertainty of this function?

[icy ruin]

$\tan^{-1}{\left(\frac{1.5262\pm0.05-12\sin{\left(30\pm0.5\right)}}{-12\cos{\left(30\pm0.5\right)}}\right)}$

[barren venture]

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[topaz kite]

gpm_marcus

[visual hinge]

...that's not a function, it's just a number. Or possibly not even a number.

[zealous matrix]

It does have some uncertainty though

See the ± symbols? Start there.

[zealous matrix]

You have these possible combinations of the operation usage; {+++ OR, ++- OR, +-- OR, --- OR, --+ OR, -++ OR, +-+ OR, -+-}
Try to find each of the numbers that occur with each one, then look at the variance between each value(by plotting them), then ask yourself: ± what fraction multiplied by 100 will cover all values when added to my mean value(I think, I'm not quite sure)

OR I could be over complicating it and you take the highest magnitude value after a ± and multiply by 100. Giving you about 50% error(and that seems a tad bit excessive)

[visual hinge]

Wouldn't it be the difference between the greatest and least?

And divide by two, since the error could be in either direction?

[zealous matrix]

Yeah💀, my brain is kinda fried and I havent done this kind of physics question in a while
But also, after /2 you have to • by 100, so just multiply by 50 and get percent

[icy ruin]

is it greatest when the top two are + while the bottom is -?