9709 P11 - Nov 2024 - Q8 - 8 marks
10050
(a) β lies between 90° and 180°, with sin β=a. Express \(\tan^2\beta-3\sin\beta\cos\beta\) in terms of a. [3]
(b) Solve \(\sin^2\theta+2\cos^2\theta=4\sin\theta+3\), \(0^\circ<\theta<360^\circ\). [5]
