Target Mathematics

3.1: Sine equation with phase shift in radians

0606/11/M/J/24 — Question 8 · 5 marks

Solve the equation 4sin2 ⁣(2απ3)=14\sin^{2}\!\left(2\alpha - \dfrac{\pi}{3}\right) = 1 for π2απ2-\dfrac{\pi}{2} \leqslant \alpha \leqslant \dfrac{\pi}{2}. Give your answers in terms of π\pi.
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