Skip to content

Course home

Sign up

Trigonometric Functions

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199
Question 89
a.

Show that the equation

2tan⁡x=3csc⁡x 2 \tan x = 3 \csc x 2tanx=3cscx

can be written as

2cos⁡2x+3cos⁡x−2=0 2\cos^2 x+3\cos x-2=0 2cos2x+3cosx−2=0
[2]
b.

Hence solve, for 0≤x≤2π0 \leq x \leq 2\pi0≤x≤2π, the equation,

2tan⁡x=3csc⁡x 2 \tan x = 3 \csc x 2tanx=3cscx

Give your answers in terms of π\piπ.

[3]
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