| Exam Board | Edexcel |
| Module | AEA (Advanced Extension Award) |
| Year | 2022 |
| Session | June |
| Topic | Reciprocal Trig & Identities |
3.(a)Use the formulae for \(\sin ( A \pm B )\) and \(\cos ( A \pm B )\) to prove that \(\tan \left( 90 ^ { \circ } - \theta \right) \equiv \cot \theta\)
(b)Solve for \(0 < \theta < 360 ^ { \circ }\)
$$2 - \sec ^ { 2 } \left( \theta + 11 ^ { \circ } \right) = 2 \tan \left( \theta + 11 ^ { \circ } \right) \tan \left( \theta - 34 ^ { \circ } \right)$$
Give each answer as an integer in degrees.