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Trigonometric Functions

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Question 5

f(x)=2x3+5x2+12x+5f(x) = 2x^3 + 5x^2 + 12x + 5f(x)=2x3+5x2+12x+5

a.

Show that (2x+1)(2x + 1)(2x+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 2sec⁡2θ+5sec⁡θ+12+5cos⁡θ=02 \sec^2 \theta + 5 \sec \theta + 12 + 5 \cos \theta = 02sec2θ+5secθ+12+5cosθ=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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