Target Mathematics

1.7: Cosec–sin and tangent equations

0606/11/O/N/17 — Question 10 · 8 marks

(a)
Solve 3csc2x4sin2x=03\csc 2x - 4\sin 2x = 0 for 0°x180°0^{\degree} \le x \le 180^{\degree}.
[4]
(b)
Solve 3tan(yπ4)=33\tan\left(y - \tfrac{\pi}{4}\right) = \sqrt{3} for 0y2π0 \le y \le 2\pi radians, giving your answers in terms of π\pi.
[4]