Funatic Maths

Written on
- Paper 2

Question 9.1

9.19.1 In the diagram, OO is the centre of the circle. Points SS, TT and RR lie on the circle. Chords STST, SRSR and TRTR are drawn in the circle. QSQS is a tangent to the circle at SS.
Image
Use the diagram to prove the theorem which states that QS^T=R^Q\hat ST=\hat R. [5]\textbf{[5]}