CAPE Pure Mathematics Unit 1 · May/June 2001 · Paper 2 · Question 3(b)(i)
Solve the following equations for 0 ≤ x ≤ π/2: 6 sin²x - cos x - 4 = 0.
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- 3(a)(i)Find the value(s) of p for which the system of equations above has a unique solution.[3 marks]
- 3(a)(ii)Find the value(s) of p for which the system of equations above has an infinite number of solutions.[3 marks]
- 3(a)(iii)Find the value(s) of p for which the system of equations above has no solution.[3 marks]
- 3(b)(ii)Solve the following equations for 0 ≤ x ≤ π/2: √3 sin x + cos x = 2.[5 marks]
- 3(c)Show that, for A ≠ π/2, sec A – tan A = tan (π/4 - A/2).[6 marks]
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