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1.8 E: Trigonometry

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Question 75
a.

Show that the equation

1+cos⁡x=3tan⁡xsin⁡x 1 + \cos x = 3 \tan x \sin x 1+cosx=3tanxsinx

Can be written in the form

4cos⁡2x+cos⁡x−3=0 4\cos^2 x + \cos x - 3 = 0 4cos2x+cosx−3=0
[4]
b.

Hence solve, for 0≤x<360∘0 \leq x < 360^\circ0≤x<360∘, the equation,

1+cos⁡x=3tan⁡xsin⁡x 1 + \cos x = 3 \tan x \sin x 1+cosx=3tanxsinx

Give your answers to one decimal place where appropriate.

[5]

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context, matched to the AQA A Level Maths (7357) 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.

Question bank