Target Mathematics

2.30: Sine, sec–cosec and cot–tan equations

0606/23/O/N/18 — Question 9 · 12 marks

(a)
Solve 2sin(x+π4)=32\sin\left(x + \tfrac{\pi}{4}\right) = \sqrt{3} for 0<x<π0 < x < \pi radians.
[3]
(b)
Solve 3secy=4cscy3\sec y = 4\csc y for 0°<y<360°0^{\degree} < y < 360^{\degree}.
[3]
(c)
Solve 7cotztanz=2cscz7\cot z - \tan z = 2\csc z for 0°<z<360°0^{\degree} < z < 360^{\degree}.
[6]