Target Mathematics

3.86: Secant equation in radians

0606/12/O/N/23 — Question 5 · 5 marks

Solve the equation sec(3θπ6)=4\mathrm{sec}\left(3\theta-\dfrac{\pi}{6}\right)=4 for π2θπ2-\dfrac{\pi}{2} \leqslant \theta \leqslant \dfrac{\pi}{2}, giving your answers in terms of π\pi.
[5]