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**terrorsquid** Find all solutions for each of the following in ther given intervals:

$\displaystyle (a) tan^2(x) = 3,~ -2\pi<x\le\pi$

$\displaystyle (b) sin^2(x) = \frac{1}{2},~ \frac{\pi}{2}\le x\le2\pi$

(a)

$\displaystyle tan(x) = \sqrt3 $

Do I find only the values that are positive $\displaystyle \sqrt{3}$ in the given interval? i.e., $\displaystyle \frac{\pi}{3}$, $\displaystyle -\frac{2\pi}{3}$, $\displaystyle -\frac{5\pi}{3} $ or do I just find every value where $\displaystyle tan(x) = \sqrt3 $?, i.e, 60, 180-60, -60, -180-(-60), -180+(-60), -360-(-60)

(b)

same deal accept with $\displaystyle \frac{\pi}{4}$