Target Mathematics

2.27: Sec–tan quadratic and sine equation

0606/23/M/J/20 — Question 10 · 8 marks

(a)
Solve 5sec⁡2A+14tan⁡A−8=05\sec^{2} A + 14\tan A - 8 = 0 for 0°≤A≤180°0^{\degree} \le A \le 180^{\degree}.
[4]
(b)
Solve 5sin⁡(4B−π8)+2=05\sin\left(4B - \tfrac{\pi}{8}\right) + 2 = 0 for −π4≤B≤π4-\tfrac{\pi}{4} \le B \le \tfrac{\pi}{4} radians.
[4]