Easy -1.8 This is a straightforward recall question testing knowledge of the periodic nature of tan and solving a simple trigonometric equation. Students only need to recognize that tan has period 180°, so tan 4θ = 1 has solutions when 4θ = 45°, 225°, 405°, 585° (giving θ = 11.25°, 56.25°, 101.25°, 146.25°), and circle '4' from given options. No working is required, just basic understanding of periodicity.
State the number of solutions to the equation $\tan 4\theta = 1$ for $0° < \theta < 180°$
Circle your answer.
[1 mark]
1 2 4 8
\hfill \mbox{\textit{AQA AS Paper 1 2019 Q1 [1]}}