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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 20

It is given that

f(x)=3x3+4x2+13x+4f(x) = 3x^3 + 4x^2 + 13x + 4f(x)=3x3+4x2+13x+4

a.

Show that (3x+1)(3x + 1)(3x+1) is a factor of f(x)f(x)f(x).

[2]
b.

Factorise f(x)f(x)f(x) completely.

[2]
c.

Prove that the equation

3sec⁡2θ+4sec⁡θ+13+4cos⁡θ=03\sec^2\theta + 4\sec\theta + 13 + 4\cos\theta = 03sec2θ+4secθ+13+4cosθ=0

has no real solutions.

[4]
Markscheme

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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