trigonmetry
posted by v .
find all solutions for
tan^2 theta 4 = 0
i got theta = arctan 2
is that correct? and if it is how would i write it as a solution?

theta = arctan2 or arctan 2
because tan^2 = 4, so tan is +/ 2
that's as exact as you can get. Just as pi or sqrt(7) is a perfectly valid number, so is arctan(2)
just be sure to note that since arctan(2) = piarctan(2), the complete solution set is
k*pi+/Arctan(2)
where Arctan(2) is the principal value.