CAIE P1 2010 June — Question 1

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

1 The acute angle \(x\) radians is such that \(\tan x = k\), where \(k\) is a positive constant. Express, in terms of \(k\),
  1. \(\tan ( \pi - x )\),
  2. \(\tan \left( \frac { 1 } { 2 } \pi - x \right)\),
  3. \(\sin x\).