Target Mathematics

2.14: Sine and secant quadratic equations

0606/22/M/J/17 — Question 10 · 9 marks

(i)
Solve 4sin(3xπ4)=34\sin\left(3x - \tfrac{\pi}{4}\right) = 3 for 0xπ20 \le x \le \tfrac{\pi}{2} radians.
[4]
(ii)
Solve 2tan2y+sec2y=14secy+32\tan^{2} y + \sec^{2} y = 14\sec y + 3 for 0°y360°0^{\degree} \le y \le 360^{\degree}.
[5]