Skip to content

Course home

3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149
Question 114
a.

For sin⁡θ≠0\sin \theta \neq 0sinθ=0 and cos⁡θ≠0\cos \theta \neq 0cosθ=0, prove that

cosec 2θ−cot⁡2θ=tan⁡θ \text{cosec } 2\theta - \cot 2\theta = \tan \theta cosec 2θ−cot2θ=tanθ
[3]
b.

Explain why the identity cosec 2θ−cot⁡2θ=tan⁡θ\text{cosec } 2\theta - \cot 2\theta = \tan \thetacosec 2θ−cot2θ=tanθ is not valid when sin⁡θ=0\sin \theta = 0sinθ=0.

[2]
Markscheme

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank