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1.8 E: Trigonometry

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Question 40
a.

Show that the equation 3sin⁡2xtan⁡2x=cos⁡2x+23\sin 2x \tan 2x = \cos 2x + 23sin2xtan2x=cos2x+2 can be written in the form 4cos⁡22x+2cos⁡2x−3=04\cos^2 2x + 2\cos 2x - 3 = 04cos22x+2cos2x−3=0

[4]
b.

Find all the values of x x\,x in the interval 0°⩽x<180° 0° \leqslant x < 180°\,0°⩽x<180° for which 3sin⁡2xtan⁡2x=cos⁡2x+23\sin 2x \tan 2x = \cos 2x + 23sin2xtan2x=cos2x+2 Give your answers to 2 decimal places.

[6]
Markscheme

1.8 E: Trigonometry Questions

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

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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