Target Mathematics

2.32: Cotangent phase shift and mixed equation

0606/23/O/N/19 — Question 5 · 10 marks

(a)
Solve 3cot⁡2(y−π4)=13\cot^{2}\left(y - \tfrac{\pi}{4}\right) = 1 for 0<y<π0 < y < \pi radians.
[4]
(b)
Solve 7cot⁡z+tan⁡z=7csc⁡z7\cot z + \tan z = 7\csc z for 0°≤z≤360°0^{\degree} \le z \le 360^{\degree}.
[6]