CAPE Pure Mathematics Unit 1 · 2022 · Paper 2 · Question 3(b)
Solve the equation \tan^2\theta - 2\tan\theta = 3 for 0 \le \theta \le 2\pi.
The mark scheme is shown once you've answered.
Practise this questionOther parts of this question
- 3(a)Prove that
\frac{\tan\theta \sin\theta}{1 - \cos\theta} = 1 + \frac{1}{\cos\theta}.[6 marks] - 3(c)(i)Show that
4\cos\theta + 3\sin\theta = 5\sin(\theta + 0.927^c).[5 marks] - 3(c)(ii)Hence, or otherwise, solve the equation
4\cos\theta + 3\sin\theta = 0.[4 marks] - 3(d)Given that
\sin A = \frac{1}{3}andAis obtuse, calculate the value of\cos Awithout using a calculator.[4 marks]
More practice: the rest of this paper · more Trigonometric Functions, Identities and Equations questions · all CAPE Pure Mathematics Unit 1 past papers