What methods are known for solving tan^2(x)=1000?

PROBLEM:


ATTEMPT:
From what I can tell, simply taking the square root of tan(x) will not work; transcendental operators don't work exactly like algebraic operators? Do I have to transform into a different expression to solve for x, or is there another method I'm overlooking?

Quote:

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Originally Posted by Lambin

PROBLEM:

ATTEMPT:
From what I can tell, simply taking the square root of tan(x) will not work; transcendental operators don't work exactly like algebraic operators? Do I have to transform into a different expression to solve for x, or is there another method I'm overlooking?

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There are two square roots of 1000: .

Use the function.