Skip to content

Course home

Sign up

Trigonometric Functions

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199
Question 139

Use the identity cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1 to prove that cosec⁡2θ=1+cot⁡2θ\operatorname{cosec}^2\theta = 1 + \cot^2\thetacosec2θ=1+cot2θ and hence solve, for 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π, the equation,

cosec⁡2θ+cot⁡2θ=3 \operatorname{cosec}^2\theta + \cot^2\theta = 3 cosec2θ+cot2θ=3

Give your answers in terms of π\piπ.

[7]
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