Find the values of \(x\) between \(0^\circ\) and \(360^\circ\) which satisfy the equation
\[3\cos x + 1 = 2\sin x.\]
UCLES A level Mathematics 1, QP 840/1, 1970, Q5(ii)
Question reproduced by kind permission of Cambridge Assessment Group Archives. The question remains Copyright University of Cambridge Local Examinations Syndicate (“UCLES”), All rights reserved.