The first three terms of a geometric series are sinθ cosθ

Last updated: 8/4/2022

The first three terms of a geometric series are sinθ cosθ and 0.5 where θ is a constant (a) Show that 2sin^θ + sinθ -2 = 0 Given that lies in the interval 90° < θ < 180° (b) find the value of θ giving your answer to one decimal place. (c) Hence prove that this series is convergent. (d) Find, two significant figures, S∞