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Trigonometry and Modelling

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Question 168

Given that the solutions, for 0≤x≤3600 \leq x \leq 3600≤x≤360, of the equation,

8sin⁡xcos⁡x=k 8 \sin x \cos x = k 8sinxcosx=k

are x=15.0∘,75.0∘,195.0∘,255.0∘x=15.0^\circ,75.0^\circ,195.0^\circ,255.0^\circx=15.0∘,75.0∘,195.0∘,255.0∘, find the value of kkk.

Give your answer to 1 decimal place.

[5]
Markscheme

Trigonometry and Modelling Questions

  1. A Level
  2. /Maths
  3. /Trigonometry and Modelling

348 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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