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Trigonometric Functions

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Question 8

f(x)=3x3+5x2+8x+4f(x) = 3x^3 + 5x^2 + 8x + 4f(x)=3x3+5x2+8x+4

a.

Show that (3x+2)(3x + 2)(3x+2) is a factor of f(x)f(x)f(x) and hence factorise f(x)f(x)f(x) completely

[5]
b.

Prove that there are no real solutions to 3sec⁡2θ+5sec⁡θ+8+4cos⁡θ=03 \sec^2 \theta + 5 \sec \theta + 8 + 4 \cos \theta = 03sec2θ+5secθ+8+4cosθ=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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