Skip to content

Course home

Sign up

Trigonometric Functions

EasyMediumHard
1234567891011121314
Question 13

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

a.

Given that (3x+1)(3x + 1)(3x+1) is a factor of f(x)f(x)f(x), show that f(−13)=0\displaystyle f(-\frac{1}{3}) = 0f(−31​)=0

[2]
b.

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

[3]
c.

Prove that there are no real solutions to 3sec⁡2θ+4sec⁡θ+13+4cos⁡θ=03 \sec^2 \theta + 4 \sec \theta + 13 + 4 \cos \theta = 03sec2θ+4secθ+13+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.

Question bank