If sec x=2, and x is in 270°<x<360°, what is tan(x/2)?

Question

If sec x=2, and x is in 270°<x<360°, what is tan(x/2) in fractional form?

Answer 1

Get out your unit circle.

sec θ = 2

cos θ = 1/2

tan (θ/2) = ±√((1 - cos θ) / (1 + cos θ))

Can you substitute value and answer? Note: θ/2 is in QII.