OCR MEI C2 — Question 10 4 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks4
TopicTrig Equations

10
  1. Show that the equation \(2 \cos ^ { 2 } \theta + 7 \sin \theta = 5\) may be written in the form $$2 \sin ^ { 2 } \theta - 7 \sin \theta + 3 = 0$$
  2. By factorising this quadratic equation, solve the equation for values of \(\theta\) between \(0 ^ { \circ }\) and \(180 ^ { \circ }\). [4]