Target Mathematics

2.22: Sin–tan identity and sec–cot equation

0606/22/O/N/20 — Question 11 · 10 marks

(a)
Show that sinxtanx1cosx=1+secx\dfrac{\sin x \tan x}{1 - \cos x} = 1 + \sec x.
[4]
(b)
Solve the equation 5tanx3cotx=2secx5\tan x - 3\cot x = 2\sec x for 0°x360°0^{\degree} \le x \le 360^{\degree}.
[6]