Edexcel Mathematics June 2023 · Paper 2 · Question 14 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2023 · Paper 2 · Question 14 · 7 marks

14. In this question you must show all stages of your working. Solutions relying entir ely on calculator technology are not acceptable. (a) Show that the equation 2 tan θ(8 cos θ + 23 sin2 θ) = 8 sin 2 θ(1 + tan2 θ) may be written as sin 2 θ(A cos2 θ + B cos θ + C) = 0 where A , B and C are constants to be found. (3) (b) Hence, solve for 360°  x  540° 2 tan x(8 cos x + 23 sin2 x) = 8 sin 2 x(1 + tan2 x) x ∈  x ≠ 450° (4) 43

Lesson: Definitions of Sine, Cosine and Tangent and Exact Values