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Trigonometric Functions

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Question 7

f(x)=3x3+4x2+7x+2f(x) = 3x^3 + 4x^2 + 7x + 2f(x)=3x3+4x2+7x+2

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

[3]
c.

Prove that there are no real solutions to 3sec⁡2θ+4sec⁡θ+7+2cos⁡θ=03\sec^2 \theta + 4\sec \theta + 7 + 2\cos \theta = 03sec2θ+4secθ+7+2cosθ=0

[5]
Markscheme

Trigonometric Functions Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Functions

274 exam-style questions on Edexcel A Level Maths Trigonometric Functions, covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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