Target Mathematics

2.23: Modulus sine, tan and cot equations

0606/23/M/J/17 — Question 10 · 12 marks

(a)
Solve 2sinx=12|\sin x| = 1 for πxπ-\pi \le x \le \pi radians.
[3]
(b)
Solve 3tan(2y+15°)=13\tan(2y + 15^{\degree}) = 1 for 0°y180°0^{\degree} \le y \le 180^{\degree}.
[4]
(c)
Solve 3cot2z=csc2z7cscz+13\cot^{2} z = \csc^{2} z - 7\csc z + 1 for 0°z360°0^{\degree} \le z \le 360^{\degree}.
[5]