Question

how would you solve (tan^2)(1/sec^2)+1/sin in terms of sin

Answer 1

Final answer in terms of sines?
Hmmm, so do you remember your identities? :)
sec=?
tangent=?
In terms of sines and cosines.

Answer 2

yes
sec=1/cos
tan=sin/cos or \[\sin^{2}+\cos ^{2}\]

Answer 3

yes we'll use that information.
So let's see, what do we have when you make the conversions? :D You should have some nice cancellations.