OCR C3 2015 June — Question 2

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2015
SessionJune
TopicReciprocal Trig & Identities

2 It is given that \(\theta\) is the acute angle such that \(\cot \theta = 4\). Without using a calculator, find the exact value of
  1. \(\tan \left( \theta + 45 ^ { \circ } \right)\),
  2. \(\operatorname { cosec } \theta\).