Skip to content

Course home

Sign up

Trigonometric Functions

EasyMediumHard
1234567891011121314
Question 6

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

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+3sec⁡θ+5+2cos⁡θ=02\sec^2 \theta + 3\sec \theta + 5 + 2\cos \theta = 02sec2θ+3secθ+5+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.

Question bank