OCR C3 2013 January — Question 2

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2013
SessionJanuary
TopicReciprocal Trig & Identities

2 The acute angle \(A\) is such that \(\tan A = 2\).
  1. Find the exact value of \(\operatorname { cosec } A\).
  2. The angle \(B\) is such that \(\tan ( A + B ) = 3\). Using an appropriate identity, find the exact value of \(\tan B\).