Target Mathematics

2.15: Cosecant identity and equation

0606/22/M/J/18 — Question 1 · 5 marks

(i)
Show that cosθcotθ+sinθ=cscθ\cos \theta \cot \theta + \sin \theta = \csc \theta.
[3]
(ii)
Hence solve cosθcotθ+sinθ=4\cos \theta \cot \theta + \sin \theta = 4 for 0°θ90°0^{\degree} \le \theta \le 90^{\degree}.
[2]