Answer:
tanx =

Explanation:
cscx = -2, and because csc is = 1/sin, you can say that sinx = -1/2
If sinx = -1/2, you can draw a triangle and label each side.
From there, you'll know that the opposite side is -1 and the hypotenuse is 2. You can then use the Pythagorean Theorem to find the adjacent side, which is equal to
.
Finally, you can find the tangent and see that it is
.
To simplify, you can cancel the negative signs and make it positive. You can either keep it as
or rationalize it and get
.
Hope I helped :)