CAIE P1 2010 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2010
SessionNovember
TopicReciprocal Trig & Identities

4
  1. Prove the identity \(\frac { \sin x \tan x } { 1 - \cos x } \equiv 1 + \frac { 1 } { \cos x }\).
  2. Hence solve the equation \(\frac { \sin x \tan x } { 1 - \cos x } + 2 = 0\), for \(0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }\).