How do I solve number 6?

Answer:
csc^2(theta)
Step-by-step explanation:
1 / cot^2(theta) = tan^2(theta)
=============
sec(theta) = cos(theta)
therefore sec(theta)*cos(theta) = 1/cos(theta) * cos(theta) = 1
==========
tan^2(theta) + 1 = y
One of the fundamental theorems of trigonometry is
tan^2(theta) + 1 = csc^2(theta)