6.3 Using Sec x, Cosec x and Cot x
9
0/7
a.

Use the identity cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1 to prove that cosec2θ=1+cot⁡2θ\text{cosec}^2\theta = 1 + \cot^2\thetacosec2θ=1+cot2θ.

[2]
b.

Solve, for 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π, the equation,

cosec2θ+cot⁡2θ=7 \text{cosec}^2\theta + \cot^2\theta = 7 cosec2θ+cot2θ=7

Give your answers in terms of π\piπ.

[5]

6.3 Using Sec x, Cosec x and Cot x Questions

Practise Edexcel A Level Maths 6.3 Using Sec x, Cosec x and Cot x with exam-style questions for A Level Maths. 16 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

PreviousNext

6.3 Using Sec x, Cosec x and Cot x Questions

  1. A Level
  2. /Maths
  3. /6.3 Using Sec x, Cosec x and Cot x