CAIE P1 2024 November — Question 8

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2024
SessionNovember
TopicTrig Equations

8
  1. It is given that \(\beta\) is an angle between \(90 ^ { \circ }\) and \(180 ^ { \circ }\) such that \(\sin \beta = a\).
    Express \(\tan ^ { 2 } \beta - 3 \sin \beta \cos \beta\) in terms of \(a\).
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  2. Solve the equation \(\sin ^ { 2 } \theta + 2 \cos ^ { 2 } \theta = 4 \sin \theta + 3\) for \(0 ^ { \circ } < \theta < 360 ^ { \circ }\).