For some reason I am thrown off by trig questions asking to find the exact value(s) within a specified interval.

Questions 1-2:

Directions: Find the exact value of s:

1.[0, pi / 2]; tan s = sqrt(3) / 3

2.[-2pi, pi); tan^2 s = 3

Question 3:

Directions: Find all values of theta, if theta is in the interval [0 degrees, 360 degrees] and has the given function value:

csc theta = sqrt(2)

Could someone please provide direction as to how to solve these problems?