Different Tensions Acting on a Weight

[student34]

Homework Statement

A 1 kg mass is hanging from a weightless string and is pulled by another weightless string to an angle of θ from the vertical. The string pulling on the weight is exactly perpendicular to Fg. When the horizontal string is cut, the weight swings 2θ. What is the tension (T1) in the string before the horizontal string is cut, and what is the tension (T2) in the string when the weight swings to 2θ?

Homework Equations

T1 = FgTanθ, T2 = Fg/cosθ

The Attempt at a Solution

T2 = 9.81N/cosθ
T1 = T2sinθ

 

[haruspex]

I don't think either of the equations is correct.
What are all the forces and accelerations in the two cases?
Which way will you resolve them to extract the equations?