5 The first, second and third terms of a geometric progression are \(\sin \theta , \cos \theta\) and \(2 - \sin \theta\) respectively, where \(\theta\) radians is an acute angle.
- Find the value of \(\theta\).
- Using this value of \(\theta\), find the sum of the first 10 terms of the progression. Give the answer in the form \(\frac { b } { \sqrt { c } - 1 }\), where \(b\) and \(c\) are integers to be found.