OCR C3 2010 January — Question 9

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2010
SessionJanuary
TopicAddition & Double Angle Formulae

9 The value of \(\tan 10 ^ { \circ }\) is denoted by \(p\). Find, in terms of \(p\), the value of
  1. \(\tan 55 ^ { \circ }\),
  2. \(\tan 5 ^ { \circ }\),
  3. \(\tan \theta\), where \(\theta\) satisfies the equation \(3 \sin \left( \theta + 10 ^ { \circ } \right) = 7 \cos \left( \theta - 10 ^ { \circ } \right)\).